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0707.3830
Neven Bilic
Neven Bilic, Branko Guberina, Raul Horvat, Hrvoje Nikolic and Hrvoje Stefancic
On Cosmological Implications of Gravitational Trace Anomaly
11 pages, equation (4) corrected, discussions expanded, references added, results unchanged, to appear in PLB
Phys.Lett.B657:232-237,2007
10.1016/j.physletb.2007.09.067
null
gr-qc astro-ph hep-th
null
We study the infrared effective theory of gravity that stems from the quantum trace anomaly. Quantum fluctuations of the metric induce running of the cosmological constant and the Newton constant at cosmological scales. By imposing the generalized Bianchi identity we obtain a prediction for the scale dependence of the dark matter and dark energy densities in terms of the parameters of the underlying conformal theory. For certain values of the model parameters the dark energy equation of state and the observed spectral index of the primordial density fluctuations can be simultaneously reproduced.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:43:32 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 13:25:49 GMT" }, { "version": "v3", "created": "Mon, 15 Oct 2007 13:11:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Bilic", "Neven", "" ], [ "Guberina", "Branko", "" ], [ "Horvat", "Raul", "" ], [ "Nikolic", "Hrvoje", "" ], [ "Stefancic", "Hrvoje", "" ] ]
0707.3831
Douglas Galvao
David L. Azevedo, Fernando Sato, Antonio Gomes de Sousa Filho, Douglas S. Galvao
Cobaltocene Encapsulation Into Single-walled Carbon Nanotubes: A Molecular Dynamics Investigation
5 pages, 3 figures
null
null
null
cond-mat.mtrl-sci
null
Recently (PRL 96, 106804 (2006)) it was suggested that cobaltocene(CC) molecules encapsulated into (7,7) carbon nanotubes (CNT@(7,7)) could be the basis for new spintronic devices. We show here based on impact molecular dynamics and DFT calculations that when dynamical aspects are explicitly considered the CC encapsulation into CNT@(7,7) does not occur, it is prevented by a dynamic barrier mainly due to van der Waals interactions. Our results show that CNT@(13,0) having enough axial space for encapsulation but no enough one to allow freely rotation of the cobaltocene molecule would be a feasible candidate to such application.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 21:52:58 GMT" } ]
2007-07-27T00:00:00
[ [ "Azevedo", "David L.", "" ], [ "Sato", "Fernando", "" ], [ "Filho", "Antonio Gomes de Sousa", "" ], [ "Galvao", "Douglas S.", "" ] ]
0707.3832
Daniel Green
Daniel Green
Reheating Closed String Inflation
17 pages, v2: fixed typos and added refs, v3: fixed typos, added refs and title change
Phys.Rev.D76:103504,2007
10.1103/PhysRevD.76.103504
SU-ITP-07/10, SLAC-PUB-12693
hep-th astro-ph hep-ph
null
Protecting the inflationary potential from quantum corrections typically requires symmetries that constrain the form of couplings of the inflaton to other sectors. We will explore how these restrictions affect reheating in models with UV completions. In particular, we look at how reheating occurs when inflation is governed by closed strings, using N-flation as an example. We find that coupling the inflaton preferentially to the Standard Model is difficult, and hidden sectors are typically reheated. Observational constraints are only met by a fraction of the models. In some working models, relativistic relics in the hidden sector provide dark matter candidates with masses that range from keV to PeV, with lighter masses being preferred.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 18:59:28 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 20:39:39 GMT" }, { "version": "v3", "created": "Tue, 2 Oct 2007 18:10:01 GMT" } ]
2008-11-26T00:00:00
[ [ "Green", "Daniel", "" ] ]
0707.3833
Joshua Eisner
J.A. Eisner, L.A. Hillenbrand, R.J. White, J.S. Bloom, R.L. Akeson, C.H. Blake
Near-Infrared Interferometric, Spectroscopic, and Photometric Monitoring of T Tauri Inner Disks
33 pages, 6 figures. Accepted for publication in ApJ
Astrophys.J. 669 (2007) 1072-1084
10.1086/521874
null
astro-ph
null
We present high angular resolution observations with the Keck Interferometer, high dispersion spectroscopic observations with Keck/NIRSPEC, and near-IR photometric observations from PAIRITEL of a sample of 11 solar-type T Tauri stars in 9 systems. We use these observations to probe the circumstellar material within 1 AU of these young stars, measuring the circumstellar-to-stellar flux ratios and angular size scales of the 2.2 micron emission. Our sample spans a range of stellar luminosities and mass accretion rates, allowing investigation of potential correlations between inner disk properties and stellar or accretion properties. We suggest that the mechanism by which the dusty inner disk is truncated may depend on the accretion rate of the source; in objects with low accretion rates, the stellar magnetospheres may truncate the disks, while sublimation may truncate dusty disks around sources with higher accretion rates. We have also included in our sample objects that are known to be highly variable (based on previous photometric and spectroscopic observations), and for several sources, we obtained multiple epochs of spectroscopic and interferometric data, supplemented by near-IR photometric monitoring, to search for inner disk variability. While time-variable veilings and accretion rates are observed in some sources, no strong evidence for inner disk pulsation is found.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 22:19:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Eisner", "J. A.", "" ], [ "Hillenbrand", "L. A.", "" ], [ "White", "R. J.", "" ], [ "Bloom", "J. S.", "" ], [ "Akeson", "R. L.", "" ], [ "Blake", "C. H.", "" ] ]
0707.3834
Dominic Meiser
D. Meiser, Jun Ye, and M. J. Holland
Spin squeezing in optical lattice clocks via lattice-based QND measurements
Substantially expanded version
null
10.1088/1367-2630/10/7/073014
null
quant-ph physics.atom-ph
null
Quantum projection noise will soon limit the best achievable precision of optical atomic clocks based on lattice-confined neutral atoms. Squeezing the collective atomic pseudo-spin via measurement of the clock state populations during Ramsey interrogation suppresses the projection noise. We show here that the lattice laser field can be used to perform ideal quantum non-demolition measurements without clock shifts or decoherence and explore the feasibility of such an approach in theory with the lattice field confined in a ring-resonator. Detection of the motional sideband due to the atomic vibration in the lattice wells can yield signal sizes a hundredfold above the projection noise limit.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 22:20:27 GMT" }, { "version": "v2", "created": "Mon, 29 Oct 2007 22:44:15 GMT" }, { "version": "v3", "created": "Thu, 8 May 2008 16:12:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Meiser", "D.", "" ], [ "Ye", "Jun", "" ], [ "Holland", "M. J.", "" ] ]
0707.3835
Michael McCooey
Michael McCooey
Symmetry groups of non-simply-connected four-manifolds
16 pages. An earlier version erroneously asserted that surfaces fixed by certain involutions were orientable, and that error invalidated a later proof. This version discusses the problem and corrects the error
null
null
null
math.GT math.AT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $M$ be a closed, connected, orientable topological four-manifold with $H_1(M)$ nontrivial and free abelian, $b_2(M)\ne 0, 2$, and $\chi(M)\ne 0$. We show that if $G$ is a finite group of 2-rank $\le 1$ which admits a homologically trivial, locally linear, effective action on $M$, then $G$ must be cyclic. With additional assumptions to ensure orientability of some components of the singular set (e.g. if $G$ acts by symplectic symmetries, or preserving a spin structure), we also rule out $C_2 \times C_2$ actions. The proofs use equivariant cohomology, localization, and a careful study of the first cohomology groups of the (potential) singular set.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 22:28:25 GMT" }, { "version": "v2", "created": "Thu, 25 Jul 2013 19:15:18 GMT" } ]
2013-07-26T00:00:00
[ [ "McCooey", "Michael", "" ] ]
0707.3836
Evgeny Plekhanov
Adolfo Avella and Ferdinando Mancini
The charge and spin sectors of the $t$-$t'$ Hubbard model
null
Physica C 408, 284 (2004)
10.1016/j.physc.2004.02.147
null
cond-mat.str-el
null
The charge and spin sectors, which are intimately coupled to the fermionic one, of the $t$-$t'$ Hubbard model have been computed self-consistently within the two-pole approximation. The relevant unknown correlators appearing in the causal bosonic propagators have been computed by enforcing the constraints dictated by the hydrodynamics and the algebra of the composite operators coming into play. The proposed scheme of approximation extends previous calculations made for the fermionic sector of the $t$-$t'$ Hubbard model and the bosonic sector of the Hubbard model, which showed to be very effective to describe the overdoped region of cuprates (the former) and the magnetic response of their parent compounds (the latter).
[ { "version": "v1", "created": "Wed, 25 Jul 2007 22:38:56 GMT" } ]
2007-07-27T00:00:00
[ [ "Avella", "Adolfo", "" ], [ "Mancini", "Ferdinando", "" ] ]
0707.3837
Rapha\"el Rossignol
Michel Benaim, Itai Benjamini and Raphael Rossignol
Effective resistance on random electrical networks
This paper has been withdrawn
null
null
null
math.PR math-ph math.MP
null
This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to everyone.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 22:44:46 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 19:30:57 GMT" } ]
2007-07-31T00:00:00
[ [ "Benaim", "Michel", "" ], [ "Benjamini", "Itai", "" ], [ "Rossignol", "Raphael", "" ] ]
0707.3838
Evgeny Plekhanov
Adolfo Avella, Ferdinando Mancini and Evgeny Plekhanov
Ergodicity in Strongly Correlated Systems
null
Condens. Matter Phys. 9, 485 (2006)
null
null
cond-mat.str-el cond-mat.soft
null
We present a concise, but systematic, review of the ergodicity issue in strongly correlated systems. After giving a brief historical overview, we analyze the issue within the Green's function formalism by means of the equations of motion approach. By means of this analysis, we are able to individuate the primary source of non-ergodic dynamics for a generic operator and also to give a recipe to compute unknown quantities characterizing such a behavior within the Composite Operator Method. Finally, we present examples of non-trivial strongly correlated systems where it is possible to find a non-ergodic behavior.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 23:02:20 GMT" } ]
2007-07-27T00:00:00
[ [ "Avella", "Adolfo", "" ], [ "Mancini", "Ferdinando", "" ], [ "Plekhanov", "Evgeny", "" ] ]
0707.3839
Evgeny Plekhanov
Ferdinando Mancini
A class of solvable models in Condensed Matter Physics
null
Condens. Matter Phys. 9, 393 (2006)
null
null
cond-mat.str-el
null
In this paper, we show that there is a large class of fermionic systems for which it is possible to find, for any dimension, a finite closed set of eigenoperators and eigenvalues of the Hamiltonian. Then, the hierarchy of the equations of motion closes and analytical expressions for the Green's functions are obtained in terms of a finite number of parameters, to be self-consistently determined. Several examples are given. In particular, for these examples it is shown that in the one-dimensional case it is possible to derive by means of algebraic constraints a set of equations which allow us to determine the self-consistent parameters and to obtain a complete exact solution.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 23:06:46 GMT" } ]
2007-07-27T00:00:00
[ [ "Mancini", "Ferdinando", "" ] ]
0707.3840
Evgeny Plekhanov
Ferdinando Mancini and Adolfo Avella
Green's Function Formalism for Highly Correlated Systems
null
Condens. Matter Phys. 9, 569 (2006)
null
null
cond-mat.str-el
null
We present the Composite Operator Method (COM) as a modern approach to the study of strongly correlated electronic systems, based on the equation of motion and Green's function method. COM uses propagators of composite operators as building blocks at the basis of approximate calculations and algebra constrains to fix the representation of Green's functions in order to maintain the algebraic and symmetry properties.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 23:11:29 GMT" } ]
2007-07-27T00:00:00
[ [ "Mancini", "Ferdinando", "" ], [ "Avella", "Adolfo", "" ] ]
0707.3841
Mois\'es Mart\'inez-Mares
V. Dominguez-Rocha, C. Zagoya, and M. Martinez-Mares
Poynting's theorem for planes waves at an interface: a scattering matrix approach
5 pages, 3 figures, submitted to Am. J. Phys
Am. J. Phys. 76 (7), 621-625 (2008)
10.1119/1.2870269
null
physics.class-ph
null
We apply the Poynting theorem to the scattering of monochromatic electromagnetic planes waves with normal incidence to the interface of two different media. We write this energy conservation theorem to introduce a natural definition of the scattering matrix S. For the dielectric-dielectric interface the balance equation lead us to the energy flux conservation which express one of the properties of S: it is a unitary matrix. For the dielectric-conductor interface the scattering matrix is no longer unitary due to the presence of losses at the conductor. However, the dissipative term appearing in the Poynting theorem can be interpreted as a single absorbing mode at the conductor such that a whole S, satisfying flux conservation and containing this absorbing mode, can be defined. This is a simplest version of a model introduced in the current literature to describe losses in more complex systems.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 23:27:07 GMT" } ]
2008-10-30T00:00:00
[ [ "Dominguez-Rocha", "V.", "" ], [ "Zagoya", "C.", "" ], [ "Martinez-Mares", "M.", "" ] ]
0707.3842
John Toner
John Toner
Quenched Dislocation Enhanced Supersolid Ordering
5 pages, 2 figures
null
10.1103/PhysRevLett.100.035302
null
cond-mat.other cond-mat.stat-mech
null
I show using Landau theory that quenched dislocations can facilitate the supersolid (SS) to normal solid (NS) transition, making it possible for the transition to occur even if it does not in a dislocation-free crystal. I make detailed predictions for the dependence of the SS to NS transition temperature T_c(L), superfluid density %\rho_S(T, L), and specific heat C(T,L) on temperature T and dislocation spacing L, all of which can be tested against experiments. The results should also be applicable to an enormous variety of other systems, including, e.g., ferromagnets.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 01:20:50 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 18:08:12 GMT" }, { "version": "v3", "created": "Thu, 15 Nov 2007 00:07:53 GMT" }, { "version": "v4", "created": "Thu, 29 Nov 2007 01:04:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Toner", "John", "" ] ]
0707.3843
Massimo Tinto
Massimo Tinto, John W. Armstrong, and Frank B. Estabrook
Modulator noise suppression in the LISA Time-Delay Interferometric combinations
17 pages, 5 figures. Submitted to: Phys. Rev. D 15
Class.Quant.Grav.25:015008,2008
10.1088/0264-9381/25/1/015008
null
gr-qc
null
We previously showed how the measurements of some eighteen time series of relative frequency or phase shifts could be combined (1) to cancel the phase noise of the lasers, (2) to cancel the Doppler fluctuations due to non-inertial motions of the six optical benches, and (3) to remove the phase noise of the onboard reference oscillators required to track the photodetector fringes, all the while preserving signals from passinggravitational waves. Here we analyze the effect of the additional noise due to the optical modulators used for removing the phase fluctuations of the onboard reference oscillators. We use a recently measured noise spectrum of an individual modulator to quantify the contribution of modulator noise to the first and second-generation Time-Delay Interferometric (TDI) combinations as a function of the modulation frequency. We show that modulator noise can be made smaller than the expected proof-mass acceleration and optical-path noises if the modulation frequencies are larger than $\approx 682$ MHz in the case of the unequal-arm Michelson TDI combination $X_1$, $\approx 1.08$ GHz for the Sagnac TDI combination $\alpha_1$, and $\approx 706$ MHz for the symmetrical Sagnac TDI combination $\zeta_1$. These modulation frequencies are substantially smaller than previously estimated and may lead to less stringent requirements on the LISA's oscillator noise calibration subsystem.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 23:43:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Tinto", "Massimo", "" ], [ "Armstrong", "John W.", "" ], [ "Estabrook", "Frank B.", "" ] ]
0707.3844
Huey-Wen Lin
Huey-Wen Lin
Nucleon Structure and Hyperon Form factor from Lattice QCD
11th International Baryons Conference, Seoul, Korea; 18 pages and 11 figures
null
null
JLAB-THY-07-687
hep-lat
null
In this work, I report the latest lattice QCD calculations of nucleon and hyperon structure from chiral fermions in 2+1-flavor dynamical simulations. All calculations are done with a chirally symmetric fermion action, domain-wall fermions, for valence quarks. % I begin with the latest lattice results on the nucleon structure, focusing on results from RBC/UKQCD using 2+1-flavor chiral fermion actions. We find the chiral-extrapolated axial coupling constant at physical pion mass point to be 1.23(5), consistent with experimental value. The renormalization constants for the structure functions are obtained from RI/MOM-scheme non-perturbative renormalization. We find first moments of the polarized and unpolarized nucleon structure functions at zero transfer momentum to be 0.133(13) and 0.203(23) respectively, using continuum chiral extrapolation. These are consistent with the experimental values, unlike previous calculations which have been 50% larger. We also have a prediction for the transversity, which we find to be 0.56(4). The twist-3 matrix element is consistent with zero which agrees with the prediction of the Wandzura-Wilczek relation. In the second half of this work, I report an indirect dynamical estimation of the strangeness proton magnetic moments using mixed actions. With the analysis of hyperon form factors and using charge symmetry, the strangeness of proton is found to be $-0.066(26)$, consistent with the Adelaide-JLab Collaboration's result. The hyperon $\Sigma$ and $\Xi$ axial coupling constants are also performed for the first time in a lattice calculation, $g_{\Sigma\Sigma}= 0.441(14)$ and $g_{\Xi\Xi} = -0.277(11)$.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 23:51:34 GMT" } ]
2007-07-27T00:00:00
[ [ "Lin", "Huey-Wen", "" ] ]
0707.3845
Julia Pevtsova
Jon F. Carlson (University of Georgia), Eric M. Friedlander (Northwestern), Julia Pevtsova (University of Washington)
Modules of constant Jordan type
47 pages
null
null
null
math.RT
null
We introduce the class of modules of constant Jordan type for a finite group scheme $G$ over a field $k$ of characteristic $p > 0$. This class is closed under taking direct sums, tensor products, duals, Heller shifts and direct summands, and includes endotrivial modules. It contains all modules in an Auslander-Reiten component which has at least one module in the class. Highly non-trivial examples are constructed using cohomological techniques. We offer conjectures suggesting that there are strong conditions on a partition to be the Jordan type associated to a module of constant Jordan type.
[ { "version": "v1", "created": "Wed, 25 Jul 2007 23:56:07 GMT" } ]
2007-07-27T00:00:00
[ [ "Carlson", "Jon F.", "", "University of Georgia" ], [ "Friedlander", "Eric M.", "", "Northwestern" ], [ "Pevtsova", "Julia", "", "University of Washington" ] ]
0707.3846
Murray Olsen Dr
M.K. Olsen, A.S. Bradley, S.A. Haine and J.J. Hope
Quantum statistical measurements of an atom laser beam
4 pages, 2 fugures
Nuclear Physics A, 790, 733c (2007)
10.1016/j.nuclphysa.2007.03.123
null
physics.atom-ph physics.optics
null
We describe a scheme, operating in a manner analogous to a reversed Raman output coupler, for measuring the phase-sensitive quadrature statistics of an atom laser beam. This scheme allows for the transferral of the atomic field statistics to an optical field, for which the quantum statistics may then be measured using the well-developed technology of optical homodyne measurement.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 00:44:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Olsen", "M. K.", "" ], [ "Bradley", "A. S.", "" ], [ "Haine", "S. A.", "" ], [ "Hope", "J. J.", "" ] ]
0707.3847
Grzegorz Kowal
Grzegorz Kowal, A. Lazarian
Aspects of Density Fluctuations in Compressible MHD Turbulence
10 pages, 7 figures, Proceeings for 6th Annual International Astrophysics Conference, Honolulu, 2007
AIP Conf.Proc.932:421-430,2007
10.1063/1.2778995
null
astro-ph
null
We study scaling relations of compressible isothermal strongly magnetized turbulence using numerical simulations with resolution 512$^3$. We find a good correspondence of our results with the Fleck (1996) model of compressible hydrodynamic turbulence. In particular, we find that the density-weighted velocity, i.e. $\boldsymbol{u} \equiv \rho^{1/3} \boldsymbol{v}$, proposed in Kritsuk et al. (2007) obeys the Kolmogorov scaling, i.e. ${\cal E}_{u}(k)\sim k^{-5/3}$ for the high Mach number turbulence. Similarly, we find that the exponents of the third order structure functions for $\boldsymbol{u}$ stay equal to unity for all Mach numbers studied. The scaling of higher order correlations obeys the She-L\'{e}v\^{e}que (1994) scalings corresponding to the two-dimensional dissipative structures, and this result does not change with the Mach number either. In contrast to velocity $\boldsymbol{v}$ which exhibits different scaling parallel and perpendicular to the local magnetic field, the scaling of $\boldsymbol{u}$ is similar in both directions. In addition, we find that the peaks of density create a hierarchy in which both physical and column densities decrease with the scale in accordance to the Fleck (1996) predictions. This hierarchy can be related ubiquitous small ionized and neutral structures (SINS) in the interstellar gas. We believe that studies of statistics of the column density peaks can provide both consistency check for the turbulence velocity studies and insight into supersonic turbulence, when the velocity information is not available.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 17:14:44 GMT" } ]
2009-06-23T00:00:00
[ [ "Kowal", "Grzegorz", "" ], [ "Lazarian", "A.", "" ] ]
0707.3848
Nasir Ganikhodjaev
Nasir Ganikhodjaev, Fatimah Abdul Razak
Correlation Inequalities for Generalized Potts Model: General Griffiths' Inequalities
14 pages
null
null
null
math-ph math.MP math.PR
null
In this paper, correlation inequalities which have been considered on Ising model are extended to q-Potts model. It is considered on generalized Potts model with interaction of any number of spins. We replace the set of spin values $F=\{1,2,..., q\}$ by the centered set $F=\{-(q-1)/2,-(q-3)/2,... ,(q-3)/2,(q-1)/2\}$. Let $N$ be the subset of one-dimensional lattice with $n$ vertices, $\g=(\s_1,\s_2,...,\s_n):N \to F^c$ be a configuration where ${(\s_i)}_\g$ is the number which appears as the ith spin (component) in $\g$ and $\s_i$ be a random variable whose value at $\g$ is ${(\s_i)}_\g$. Define $\s^R=\prod_{i \in R}\s_i$ for any list $R$ where any $i \in R$ implies that $i \in N$. We first prove that $<\s^R > \ge 0$ then we prove that for any two lists $R$ and $S$, we have $<\s^R \s^S >- < \s^R > < \s^S > \ge 0$.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 01:10:44 GMT" } ]
2007-07-27T00:00:00
[ [ "Ganikhodjaev", "Nasir", "" ], [ "Razak", "Fatimah Abdul", "" ] ]
0707.3849
Philipp Gerhold
P. Gerhold, K. Jansen
The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations
14 pages, 11 figures
JHEP0710:001,2007
10.1088/1126-6708/2007/10/001
HU-EP-07/28, DESY 07-108
hep-lat
null
The phase diagram of a chirally invariant lattice Higgs-Yukawa model is explored by means of numerical simulations. The results revealing a rich phase structure are compared to analytical large Nf calculations which we performed earlier. The analytical and numerical results are in excellent agreement at large values of Nf. In the opposite case the large Nf computation still gives a good qualitative description of the phase diagram. In particular we find numerical evidence for the predicted ferrimagnetic phase at intermediate values of the Yukawa coupling constant and for the symmetric phase at strong Yukawa couplings. Emphasis is put on the finite size effects which can hide the existence of the latter symmetric phase.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 01:31:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Gerhold", "P.", "" ], [ "Jansen", "K.", "" ] ]
0707.3850
Tako Kotani
Takao Kotani and Mark van Schilfgaarde
Spin wave dispersion based on the quasiparticle self-consistent $GW$ method: NiO, MnO and $\alpha$-MnAs
V2: add another figure for SW life time. Formalism is detailed
J. Phys.: Condens. Matter 20 (2008) 295214
10.1088/0953-8984/20/29/295214
null
cond-mat.mtrl-sci cond-mat.other
null
We present spin wave dispersions in MnO, NiO, and $\alpha$-MnAs based on the quasiparticle self-consistent $GW$ method (\qsgw), which determines an optimum quasiparticle picture. For MnO and NiO, \qsgw results are in rather good agreement with experiments, in contrast to the LDA and LDA+U description. For $\alpha$-MnAs, we find a collinear ferromagnetic ground state in \qsgw, while this phase is unstable in the LDA.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 01:57:14 GMT" }, { "version": "v2", "created": "Sat, 5 Apr 2008 21:51:36 GMT" } ]
2008-07-08T00:00:00
[ [ "Kotani", "Takao", "" ], [ "van Schilfgaarde", "Mark", "" ] ]
0707.3851
Alexander Koldobsky
A.Koldobsky, H.K\"onig, M.Zymonopoulou
The complex Busemann-Petty problem on sections of convex bodies
18 pages
null
null
null
math.FA math.MG
null
The complex Busemann-Petty problem asks whether origin symmetric convex bodies in $\C^n$ with smaller central hyperplane sections necessarily have smaller volume. We prove that the answer is affirmative if $n\le 3$ and negative if $n\ge 4.$
[ { "version": "v1", "created": "Thu, 26 Jul 2007 02:29:58 GMT" } ]
2007-07-27T00:00:00
[ [ "Koldobsky", "A.", "" ], [ "König", "H.", "" ], [ "Zymonopoulou", "M.", "" ] ]
0707.3852
Jerome Le Ny
Jerome Le Ny, Eric Feron
Performance Evaluation of a Multi-Agent Risk-Sensitive Tracking System
15 pages, 4 figures
null
null
null
math.OC
null
In this paper, we consider a simple linear exponential quadratic Gaussian (LEQG) tracking problem for a multi-agent system. We study the dynamical behaviors of the group as we vary the risk-sensitivity parameter, comparing in particular the risk averse case to the LQG case. Then we consider the evolution of the performance per agent as the number of agents in the system increases. We provide some analytical as well as simulation results. In general, more agents are beneficial only if noisy agent dynamics and/or imperfect measurements are considered. The critical value of the risk sensitivity parameter above which the cost becomes infinite increases with the number of agents. In other words, for a fixed positive value of this parameter, there is a minimum number of agents above which the cost remains finite.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 02:37:37 GMT" } ]
2007-07-27T00:00:00
[ [ "Ny", "Jerome Le", "" ], [ "Feron", "Eric", "" ] ]
0707.3853
Adam Rennie
Alan Carey, John Phillips, Adam Rennie
Semifinite spectral triples associated with graph C*-algebras
to appear in `Traces in Geometry, Number Theory and Quantum Fields', published by Vieweg, eds S. Albeverio, M. Marcolli,
null
null
null
math.OA
null
We review the recent construction of semifinite spectral triples for graph C^*-algebras. These examples have inspired many other developments and we review some of these such as the relation between the semifinite index and the Kasparov product, examples of noncommutative manifolds, and an index theorem in twisted cyclic theory using a KMS state.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 02:41:55 GMT" } ]
2007-07-27T00:00:00
[ [ "Carey", "Alan", "" ], [ "Phillips", "John", "" ], [ "Rennie", "Adam", "" ] ]
0707.3854
Seung-il Nam
Ki-Seok Choi, Seung-il Nam, Atsushi Hosaka, Hyun-Chul Kim
eta photoproduction and N* resonances
18 pages, 8 figures
J.Phys.G36:015008,2009
10.1088/0954-3899/36/1/015008
PNU-NTG-07/2007, PNU-NuRI-07/2007, YITP-07-46, RCNP-Th07007, INHA-NTG-04/2008
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the eta photoproduction using the effective Lagrangian approach at the tree level. We focus on the new nucleon resonance N*(1675), which was reported by the GRAAL, CB-ELSA and Tohoku LNS, testing its possible spin and parity states theoretically (J^P=1/2^+-,3/2^+-). In addition, we include six nucleon resonances, D_13(1520), S_11(1535), S_11(1650), D_15(1675), P_11(1710), P_13(1720) as well as the possible background contributions. We calculate various cross sections including beam asymmetries for the neutron and proton targets. We find noticeable isospin asymmetry in transition amplitudes for photon and neutron targets. This observation may indicate that the new resonance can be identified as a non-strangeness member of the baryon antidecuplet.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:51:49 GMT" }, { "version": "v2", "created": "Wed, 12 Mar 2008 05:05:08 GMT" }, { "version": "v3", "created": "Wed, 30 Apr 2008 07:01:22 GMT" }, { "version": "v4", "created": "Wed, 7 Jan 2009 00:55:29 GMT" } ]
2009-01-07T00:00:00
[ [ "Choi", "Ki-Seok", "" ], [ "Nam", "Seung-il", "" ], [ "Hosaka", "Atsushi", "" ], [ "Kim", "Hyun-Chul", "" ] ]
0707.3855
Han-Ying Guo
Han-Ying Guo
Special Relativity and Theory of Gravity via Maximum Symmetry and Localization -- In Honor of the 80th Birthday of Professor Qikeng Lu
39 pages. Invited talk at the 2006 International Conference on Several Complex Variables, June 5 - 9, 2006; Beijing, China
Science in China A, Vol.51 [4] (2008) 568-603
null
null
gr-qc
null
Like Euclid, Riemann and Lobachevsky geometries on an almost equal footing, based on the principle of relativity of maximum symmetry proposed by Lu and the postulate on invariant universal constants, dS/AdS SR can be set up on an almost equal footing with Einstein's SR. For dS-case, there is a coin-like relation: A law of inertia in Beltrami atlas with Beltrami time simultaneity for the PoR on one side. The proper-time simultaneity and a RW-like dS-space with entropy and an accelerated expanding S^3 fitting the cosmological principle on another. If our universe is asymptotic to the RW-like dS-space, it should be slightly closed with an entropy bound. Contrarily, via its asymptotic behavior, it can fix on Beltrami frames without `an argument in a circle' and acts as the origin of inertia. There is a triality of conformal extensions of three kinds of SR and their null physics on the projective boundary of a 5-d AdS-space. Thus there is a dS-spacetime on the boundary of a vacuum of supergravity. Gravity should be based on the localized PoR of full maximum symmetry with a gauge-like dynamics. Thus, this may lead to theory of gravity of corresponding local maximum symmetry. A simple model of dS-gravity characterized by a dimensionless constant shows the features. Our universe may already indicate that the dS SR and the dS-gravity be the foundation of large scale physics.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 03:43:36 GMT" }, { "version": "v2", "created": "Sat, 15 Mar 2008 08:26:02 GMT" } ]
2008-03-15T00:00:00
[ [ "Guo", "Han-Ying", "" ] ]
0707.3856
Anna Amirdjanova
Anna Amirdjanova, Matthew Linn
Stochastic evolution equations for nonlinear filtering of random fields in the presence of fractional Brownian sheet observation noise
24 pages
null
null
null
math.PR
null
The problem of nonlinear filtering of a random field observed in the presence of a noise, modeled by a persistent fractional Brownian sheet of Hurst index $(H_1,H_2)$ with $0.5<H_1,H_2<1$, is studied and a suitable version of the Bayes' formula for the optimal filter is obtained. Two types of spatial "fractional" analogues of the Duncan-Mortensen-Zakai equation are also derived: one tracks evolution of the unnormalized optimal filter along an arbitrary "monotone increasing" (in the sense of partial ordering in $\mathbb{R}^2$) one-dimensional curve in the plane, while the other describes dynamics of the filter along the paths that are truly two-dimensional. Although the paper deals with the two-dimensional parameter space, the presented approach and results extend to $d$-parameter random fields with arbitrary $d\geq 3$.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 04:11:56 GMT" } ]
2007-07-27T00:00:00
[ [ "Amirdjanova", "Anna", "" ], [ "Linn", "Matthew", "" ] ]
0707.3857
Qiang-Hua Wang
Bin Cheng, Qiang-Hua Wang and Robert Joynt
Exact solution of a model of qubit dephasing due to telegraph noise
7 pages, 6 figures, revised and extended
null
10.1103/PhysRevA.78.022313
null
quant-ph
null
We present a general and exact formalism for finding the evolution of a quantum system subject to external telegraph noise. The various qubit decoherence rates are determined by the eigenvalues of a transfer matrix. The formalism can be applied to a qubit subject to an arbitrary combination of dephasing and relaxational telegraph noise, in contrast to existing non-perturbative methods that treat only one or the other of these limits. We present 3 applications: 1) We obtain the full qubit dynamics on time scales short compared with the enviromental correlation times. In the strong coupling cases this reveals unexpected oscillations and induced magnetization components; 2) We find in strong coupling case strong violations of the widely used relation 1/T$_2$ = 1/2T$_1$ + 1/T$_{\phi}$, which is a result of perturbation theory; 3) We discuss the effects of bang-bang and spin-echo controls of the qubit dynamics in general settings of the telegraph noises. %The result shows that these methods are not very effective in %reducing decoherence arising from a single telegraph noise. Finally, we discuss the extension of the method to the cases of many telegraph noise sources and multiple qubits. The method still works when white noise is also present.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 04:38:04 GMT" }, { "version": "v2", "created": "Tue, 13 May 2008 04:37:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Cheng", "Bin", "" ], [ "Wang", "Qiang-Hua", "" ], [ "Joynt", "Robert", "" ] ]
0707.3858
Sachindeo Vaidya
Sachindeo Vaidya
The quantum sinh-Gordon model in noncommutative (1+1) dimensions
7 pages, 2 figures, LaTex. References added
Phys.Lett.B655:294-297,2007
10.1016/j.physletb.2007.08.089
IISc/CHEP/10/07
hep-th
null
Using twisted commutation relations we show that the quantum sinh-Gordon model on noncommutative space is integrable, and compute the exact two-particle scattering matrix. The model possesses a strong-weak duality, just like its commutative counterpart.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 05:56:10 GMT" }, { "version": "v2", "created": "Mon, 6 Aug 2007 06:12:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Vaidya", "Sachindeo", "" ] ]
0707.3859
Guy F. de T\'eramond
Stanley J. Brodsky and Guy F. de Teramond
Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
21 pages, 7 figures. Title adjusted to PRD title. Typo corrected in Eq (B3)
Phys.Rev.D77:056007,2008
10.1103/PhysRevD.77.056007
SLAC-PUB 12544
hep-ph hep-th
null
The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at short distances and color confinement at large distances. The AdS/CFT correspondence also provides insights into the inherently non-perturbative aspects of QCD such as the orbital and radial spectra of hadrons and the form of hadronic wavefunctions. In particular, we show that there is an exact correspondence between the fifth-dimensional coordinate of anti-de Sitter (AdS) space $z$ and a specific light-front impact variable $\zeta$ which measures the separation of the quark and gluonic constituents within the hadron in ordinary space-time. This connection allows one to compute the analytic form of the frame-independent light-front wavefunctions of mesons and baryons, the fundamental entities which encode hadron properties and which allow the computation of decay constants, form factors and other exclusive scattering amplitudes. Relativistic light-front equations in ordinary space-time are found which reproduce the results obtained using the fifth-dimensional theory. As specific examples we compute the pion coupling constant $f_\pi$, the pion charge radius $< r_\pi^2 >$ and examine the propagation of the electromagnetic current in AdS space, which determines the space and time-like behavior of the pion form factor and the pole of the $\rho$ meson.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 06:51:40 GMT" }, { "version": "v2", "created": "Sat, 13 Oct 2007 08:43:54 GMT" }, { "version": "v3", "created": "Tue, 11 Mar 2008 02:47:33 GMT" }, { "version": "v4", "created": "Mon, 31 Mar 2008 16:32:40 GMT" } ]
2008-11-26T00:00:00
[ [ "Brodsky", "Stanley J.", "" ], [ "de Teramond", "Guy F.", "" ] ]
0707.3860
Christophe Leuridan
Jean Brossard, Christophe Leuridan
Cha\^{i}nes de Markov Constructives Index\'{e}es par Z
Published at http://dx.doi.org/10.1214/009117906000000430 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Probability 2007, Vol. 35, No. 2, 715-731
10.1214/009117906000000430
IMS-AOP-AOP0174
math.PR
null
Nous \'{e}tudions les cha\^{{\i}}nes de Markov $(X_n)_{n\in\mathbf{Z}}$ gouvern\'{e}es par une relation de r\'{e}currence de la forme $X_{n+1}=f(X_n,V_{n+1})$, o\`{u} $(V_n)_{n\in\mathbf{Z}}$ est une suite de variables al\'{e}atoires ind\'{e}pendantes et de m\^{e}me loi telle pour tout $n\in \mathbf{Z}$, $V_{n+1}$ est ind\'{e}pendante de la suite $((X_k,V_k))_{k\le n}$. L'objet de l'article est de donner une condition n\'{e}cessaire et suffisante pour que les innovations $(V_n)_{n\in\mathbf{Z}}$ d\'{e}terminent compl\`{e}tement la suite $(X_n)_{n\in \mathbf{Z}}$ et de d\'{e}crire l'information manquante dans le cas contraire.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 06:53:43 GMT" } ]
2009-09-29T00:00:00
[ [ "Brossard", "Jean", "" ], [ "Leuridan", "Christophe", "" ] ]
0707.3861
Tatiana Shulman
Tatiana Shulman
The C*-algebras qA\otimes K and S^2A\otimes K are asymptotically equivalent
12 pages
J. Operator Theory, Volume 63, Issue 1 (2010), pp. 85-100
null
null
math.OA math.KT
null
Let $A$ be a separable $C^*$-algebra. We prove that its stabilized second suspension $S^2A\otimes \mathcal K$ and the $C^*$-algebra $qA\otimes \mathcal K$ constructed by Cuntz in the framework of his picture of KK-theory are asymptotically equivalent. This means that there exist asymptotic morphisms from each to the other whose compositions are homotopic to the identity maps. This result yields an easy description of the natural transformation from KK-theory to E-theory. One more corollary is the following. T. Loring ([3]) proved that any asymptotic morphism from $\qC$ to any $C^*$-algebra $B$ is homotopic to a $\ast$-homomorphism. We prove that the same is true when $\C$ is replaced by any nuclear $C^*$-algebra $A$ and when $B$ is stable.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:06:58 GMT" }, { "version": "v2", "created": "Thu, 10 Jan 2008 08:17:33 GMT" } ]
2010-08-09T00:00:00
[ [ "Shulman", "Tatiana", "" ] ]
0707.3862
Victor H. Moll
Dante Manna and Victor H. Moll
Rational Landen transformations on the real line
22 pages
null
10.1090/S0025-5718-07-01954-0
null
math.CA
null
The rational Landen transformation is a map on the space of coefficients of a rational integrand that preserves the value of the integral. We provide a family of these transformations that apply to rational integrands on the whole line. Given an integer m, these transformations produce a numerical scheme to evaluate the integral that is of order m.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:50:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Manna", "Dante", "" ], [ "Moll", "Victor H.", "" ] ]
0707.3863
Mikhail Sodin
F. Nazarov, M. Sodin, A. Volberg
The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes
34 pages, 1 figure
Comm. Math. Phys. 284 (2008), no. 3, 833-865
null
null
math.PR math-ph math.CV math.MP
null
By random complex zeroes we mean the zero set of a random entire function whose Taylor coefficients are independent complex-valued Gaussian variables, and the variance of the k-th coefficient is 1/k!. This zero set is distribution invariant with respect to isometries of the complex plane. We study large fluctuations of random complex zeroes and show that they obey the asymptotic law that was discovered some time ago by Jancovici, Lebowitz and Manificat for charge fluctuations of a Coulomb system of particles.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:13:37 GMT" }, { "version": "v2", "created": "Mon, 3 Sep 2007 19:55:30 GMT" } ]
2016-12-21T00:00:00
[ [ "Nazarov", "F.", "" ], [ "Sodin", "M.", "" ], [ "Volberg", "A.", "" ] ]
0707.3864
Bao-Xi Sun
Chang-Geng Liu and Bao-Xi Sun
The equation of state for the nuclear matter and the properties of the neutron star
This article is based on Chang-Geng Liu's graduate thesis. 11 pages and 4 figures
null
null
null
nucl-th
null
The equation of state for the beta stable nuclear matter is calculated numerically, and then the Tolman-Oppenheimer-Volkov equation for the structure of the neutron star is solved in the fourth-order Runge-Kutta algorithm. It shows the mass and radius of the neutron star are functions of the central density of the neutron star and a maximum mass of 1.932 solar masses with a corresponding radius of 9.340km is obtained. Considering the equation of state of the nuclear matter must obey the causality, a new factor c is added in the nuclear potential energy formula. Therefore, with a new equation of state for the beta stable nuclear matter when c=0.15, a new maximum mass of 1.440 solar masses with a radius of 9.765km for the neutron star is obtained. Finally, the contribution of the cosmological constant to the structure of the neutron star is discussed, and we find the cosmological constant has minimal or negligible influence on the properties of the neutron star.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:22:46 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 13:37:59 GMT" } ]
2007-08-07T00:00:00
[ [ "Liu", "Chang-Geng", "" ], [ "Sun", "Bao-Xi", "" ] ]
0707.3865
Eli Barkai
Adi Rebenshtok, Eli Barkai
Distribution of Time-Averaged Observables for Weak Ergodicity Breaking
5 pages, 2 figures
Phys. Rev. Letters 99, 210601 (2007)
10.1103/PhysRevLett.99.210601
null
cond-mat.stat-mech
null
We find a general formula for the distribution of time-averaged observables for systems modeled according to the sub-diffusive continuous time random walk. For Gaussian random walks coupled to a thermal bath we recover ergodicity and Boltzmann's statistics, while for the anomalous subdiffusive case a weakly non-ergodic statistical mechanical framework is constructed, which is based on L\'evy's generalized central limit theorem. As an example we calculate the distribution of $\bar{X}$: the time average of the position of the particle, for unbiased and uniformly biased particles, and show that $\bar{X}$ exhibits large fluctuations compared with the ensemble average $<X>$.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:23:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Rebenshtok", "Adi", "" ], [ "Barkai", "Eli", "" ] ]
0707.3866
A. Deniz Sezer
A. Deniz Sezer
Filtration shrinkage by level-crossings of a diffusion
Published at http://dx.doi.org/10.1214/009117906000000683 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Probability 2007, Vol. 35, No. 2, 739-757
10.1214/009117906000000683
IMS-AOP-AOP0188
math.PR
null
We develop the mathematics of a filtration shrinkage model that has recently been considered in the credit risk modeling literature. Given a finite collection of points $x_1<...<x_N$ in $\mathbb{R}$, the region indicator function $R(x)$ assumes the value $i$ if $x\in(x_{i-1},x_i]$. We take $\mathbb{F}$ to be the filtration generated by $(R(X_t))_{t\geq0}$, where $X$ is a diffusion with infinitesimal generator $\mathcal{A}$. We prove a martingale representation theorem for $\mathbb{F}$ in terms of stochastic integrals with respect to $N$ random measures whose compensators have a simple form given in terms of certain L\'{e}vy measures $F^{j\pm}_i$, which are related to the differential equation $\mathcal{A}u=\lambda u$.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:25:03 GMT" } ]
2009-09-29T00:00:00
[ [ "Sezer", "A. Deniz", "" ] ]
0707.3867
Hiromitsu Takahashi
Hiromitsu Takahashi, Yasushi Fukazawa, Tsunefumi Mizuno, Ayumi Hirasawa, Shunji Kitamoto, Keisuke Sudoh, Takayuki Ogita, Aya Kubota, Kazuo Makishima, Takeshi Itoh, Arvind N. Parmar, Ken Ebisawa, Sachindra Naik, Tadayasu Dotani, Motohide Kokubun, Kousuke Ohnuki, Tadayuki Takahashi, Tahir Yaqoob, Lorella Angelini, Yoshihiro Ueda, Kazutaka Yamaoka, Taro Kotani, Nobuyuki Kawai, Masaaki Namiki, Takayoshi Kohmura, Hitoshi Negoro
Low/Hard State Spectra of GRO J1655-40 Observed with Suzaku
32 pages, 12 figures; accepted for publication in Publications of the Astronomical Society of Japan (PASJ)
null
10.1093/pasj/60.sp1.S69
null
astro-ph
null
The Galactic black-hole binary GRO J1655$-$40 was observed with Suzaku on 2005 September 22--23, for a net exposure of 35 ks with the X-ray Imaging Spectrometer (XIS) and 20 ks with the Hard X-ray Detector (HXD). The source was detected over a broad and continuous energy range of 0.7--300 keV, with an intensity of $\sim$50 mCrab at 20 keV. At a distance of 3.2 kpc, the 0.7--300 keV luminosity is $ \sim 5.1 \times 10^{36}$ erg s$^{-1}$ ($\sim 0.7$ % of the Eddington luminosity for a 6 $M_{\odot}$ black hole). The source was in a typical low/hard state, exhibiting a power-law shaped continuum with a photon index of $\sim 1.6$. During the observation, the source intensity gradually decreased by 25% at energies above $\sim 3$ keV, and by 35% below 2 keV. This, together with the soft X-ray spectra taken with the XIS, suggests the presence of an independent soft component that can be represented by emission from a cool ($\sim 0.2$ keV) disk. The hard X-ray spectra obtained with the HXD reveal a high-energy spectral cutoff, with an e-folding energy of $\sim 200$ keV. Since the spectral photon index above 10 keV is harder by $\sim 0.4$ than that observed in the softer energy band, and the e-folding energy is higher than those of typical reflection humps, the entire 0.7--300 keV spectrum cannot be reproduced by a single thermal Comptonization model, even considering reflection effects. Instead, the spectrum (except the soft excess) can be successfully explained by invoking two thermal-Comptonization components with different $y$-parameters. In contrast to the high/soft state spectra of this object in which narrow iron absorption lines are detected with equivalent widths of 60--100 eV, the present XIS spectra bear no such features beyond an upper-limit equivalent width of 25 eV.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:30:41 GMT" } ]
2017-01-18T00:00:00
[ [ "Takahashi", "Hiromitsu", "" ], [ "Fukazawa", "Yasushi", "" ], [ "Mizuno", "Tsunefumi", "" ], [ "Hirasawa", "Ayumi", "" ], [ "Kitamoto", "Shunji", "" ], [ "Sudoh", "Keisuke", "" ], [ "Ogita", "Takayuki", "" ], [ "Kubota", "Aya", "" ], [ "Makishima", "Kazuo", "" ], [ "Itoh", "Takeshi", "" ], [ "Parmar", "Arvind N.", "" ], [ "Ebisawa", "Ken", "" ], [ "Naik", "Sachindra", "" ], [ "Dotani", "Tadayasu", "" ], [ "Kokubun", "Motohide", "" ], [ "Ohnuki", "Kousuke", "" ], [ "Takahashi", "Tadayuki", "" ], [ "Yaqoob", "Tahir", "" ], [ "Angelini", "Lorella", "" ], [ "Ueda", "Yoshihiro", "" ], [ "Yamaoka", "Kazutaka", "" ], [ "Kotani", "Taro", "" ], [ "Kawai", "Nobuyuki", "" ], [ "Namiki", "Masaaki", "" ], [ "Kohmura", "Takayoshi", "" ], [ "Negoro", "Hitoshi", "" ] ]
0707.3868
Mohamad Ali Jafarizadeh
M. A. Jafarizadeh, M. Mirzaee, M. Rezaee
Finite quantum tomography via semidefinite programming
25 pages
International Journal of Theoretical Physics, Vol. 46, No. 6, June 2007, page 1471
10.1007/s10773-006-9287-9
null
quant-ph
null
Using the the convex semidefinite programming method and superoperator formalism we obtain the finite quantum tomography of some mixed quantum states such as: qudit tomography, N-qubit tomography, phase tomography and coherent spin state tomography, where that obtained results are in agreement with those of References \cite{schack,Pegg,Barnett,Buzek,Weigert}.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:37:12 GMT" } ]
2007-07-27T00:00:00
[ [ "Jafarizadeh", "M. A.", "" ], [ "Mirzaee", "M.", "" ], [ "Rezaee", "M.", "" ] ]
0707.3869
Steffen Mieske
Steffen Mieske, Michael Hilker, Leopoldo Infante, Claudia Mendes de Oliveira
A flat faint end of the Fornax cluster galaxy luminosity function
5 pages, 4 figures, to appear in the proceedings of IAU Symposium 244 'Dark galaxies and lost baryons', Cambridge University Press, editors J. I. Davies & M. D. Disney
null
10.1017/S1743921307014172
null
astro-ph
null
We analyse the photometric properties of the early-type Fornax cluster dwarf galaxy population (M_V>-17 mag), based on a wide field imaging study of the central cluster area in V and I band-passes with IMACS/Magellan at Las Campanas Observatory. We create a fiducial sample of ~100 Fornax cluster dwarf ellipticals (dEs) with -16.6<M_V<-8.8 mag in the following three steps: (1) To verify cluster membership, we measured I-band surface brightness fluctuations (SBF) distances to candidate dEs known from previous surveys; (2) We re-assessed morphological classifications for those candidate dEs that are too faint for SBF detection; and (3) We searched for new candidate dEs in the size-luminosity regime close to the resolution limit of previous surveys. The resulting fiducial dE sample follows a well-defined surface brightness - magnitude relation, showing that Fornax dEs are about 40% larger than Local Group dEs. The sample also defines a colour-magnitude relation similar to that of Local Group dEs. The early-type dwarf galaxy luminosity function in Fornax has a very flat faint end slope alpha = -1.1 +/- 0.1. We compare the number of dwarfs per unit mass with those in other environments and find that the Fornax cluster fits well into a general trend of a lack of high-mass dwarfs in more massive environments.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:38:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Mieske", "Steffen", "" ], [ "Hilker", "Michael", "" ], [ "Infante", "Leopoldo", "" ], [ "de Oliveira", "Claudia Mendes", "" ] ]
0707.3870
Sintayehu Tesfa Woldemariam Mr
Sintayehu Tesfa
Spontaneously induced atom-radiation entanglement in an ensemble of two-level atoms
7 pages, 3 figures
null
10.1080/09500340701739571
null
quant-ph
null
Analysis of the spontaneously induced correlation on atom-radiation entanglement in an ensemble of two-level atoms initially prepared in the upper level and placed in a cavity containing a squeezed radiation employing the method of evaluating the coherent-state propagator is presented. It is found that the cavity radiation exhibits squeezing which is directly attributed to the squeezed radiation in the cavity. The intensity of the cavity radiation increases with the squeeze parameter and interaction time. It is also shown that substantial degree of entanglement between the atomic states and radiation mode exits at a particular time that depends on the coupling constant and squeeze parameter. We come to understand that though the squeezed radiation is directly accountable for the cavity squeezing, it significantly destroys the atom-radiation entanglement.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:45:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Tesfa", "Sintayehu", "" ] ]
0707.3871
Alexey Gavrilov
A. V. Gavrilov
On the Clausius theorem
null
null
null
null
physics.gen-ph
null
We show that for a metastable system there exists a theoretical possibility of a violation of the Clausius inequality without a violation of the second law. Possibilities of experimental detection of this hypothetical violation are pointed out.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:53:23 GMT" } ]
2007-07-27T00:00:00
[ [ "Gavrilov", "A. V.", "" ] ]
0707.3872
Sagawa Takahiro
Takahiro Sagawa, Masahito Ueda
Accuracy matrix in generalized simultaneous measurement of a qubit system
null
Phys. Rev. A 77, 012313 (2008)
10.1103/PhysRevA.77.012313
null
quant-ph
null
We formulate the accuracy of quantum measurement for a qubit system in terms of a 3 by 3 matrix. This matrix, which we refer to as the accuracy matrix, can be calculated from a positive operator-valued measure (POVM) corresponding to the quantum measurement. Based on the accuracy matrix, we derive new trade-off relations between the measurement accuracy of two or three noncommuting observables of a qubit system. These trade-off relations offer a quantitative information-theoretic representation of Bohr's principle of complementarity. They can be interpreted as the uncertainty relations between measurement errors in simultaneous measurements, and also as the trade-off relations between the measurement error and back-action of measurement. A no-cloning inequality is derived from the trade-off relations. Furthermore, our formulation and the obtained results can be applied to analyze quantum state tomography. We also show that the accuracy matrix is closely related to the maximum-likelihood estimation and the Fisher information matrix for a finite number of samples; the accuracy matrix tells us how accurately we can estimate the probability distributions of observables of an unknown state by quantum measurement.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 07:56:11 GMT" }, { "version": "v2", "created": "Mon, 5 Nov 2007 07:50:15 GMT" }, { "version": "v3", "created": "Thu, 17 Jan 2008 09:03:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Sagawa", "Takahiro", "" ], [ "Ueda", "Masahito", "" ] ]
0707.3873
Guido Consonni
Guido Consonni, H\'el\`ene Massam
Alternative parametrizations and reference priors for decomposable discrete graphical models
31 pages, 2 figures
null
null
null
math.ST stat.TH
null
For a given discrete decomposable graphical model, we identify several alternative parametrizations, and construct the corresponding reference priors for suitable groupings of the parameters. Specifically, assuming that the cliques of the graph are arranged in a perfect order, the parameters we consider are conditional probabilities of clique-residuals given separators, as well as generalized log-odds-ratios. We also consider a parametrization associated to a collection of variables representing a cut for the statistical model. The reference priors we obtain do not depend on the order of the groupings, belong to a conjugate family, and are proper.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 09:51:25 GMT" } ]
2007-07-27T00:00:00
[ [ "Consonni", "Guido", "" ], [ "Massam", "Hélène", "" ] ]
0707.3874
Kevin Stratford
K. Stratford, J.-C. Desplat, P. Stansell, M. E. Cates
Binary fluids under steady shear in three dimensions
4 pages, 3 figures
null
10.1103/PhysRevE.76.030501
null
cond-mat.stat-mech
null
We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture with full hydrodynamics in three dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite correlation lengths in all three spatial directions. Using large simulations we obtain at moderately high Reynolds numbers apparent scaling expon ents comparable to those found by us previously in 2D. However, in 3D there may be a crossover to different behavior at low Reynolds number: accessing this regime requires even larger computational resource than used here.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:30:28 GMT" }, { "version": "v2", "created": "Fri, 14 Sep 2007 18:06:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Stratford", "K.", "" ], [ "Desplat", "J. -C.", "" ], [ "Stansell", "P.", "" ], [ "Cates", "M. E.", "" ] ]
0707.3875
Vittorio Cataudella
G. De Filippis, V. Cataudella, A. S. Mishchenko and N. Nagaosa
Non-local composite spin-lattice polarons in high temperature superconductors
5 pages, 4 figures
Phys. Rev. Lett. 99, 146405 (2007)
10.1103/PhysRevLett.99.146405
null
cond-mat.str-el cond-mat.supr-con
null
The non-local nature of the polaron formation in t-t'-t"-J model is studied in large lattices up to 64 sites by developing a new numerical method. We show that the effect of longer-range hoppings t' and t" is a large anisotropy of the electron-phonon interaction (EPI) leading to a completely different influence of EPI on the nodal and antinodal points in agreement with the experiments. Furthermore, nonlocal EPI preserves polaron's quantum motion, which destroys the antiferromagnetic order effectively, even at strong coupling regime, although the quasi-particle weight in angle-resolved-photoemission spectroscopy is strongly suppressed.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:36:46 GMT" } ]
2009-11-13T00:00:00
[ [ "De Filippis", "G.", "" ], [ "Cataudella", "V.", "" ], [ "Mishchenko", "A. S.", "" ], [ "Nagaosa", "N.", "" ] ]
0707.3876
Branko Dragovich
Branko Dragovich
Adeles in Mathematical Physics
9 pages. Invited talk at the international conference Actual Problems of Mathematics and Computer Modeling, 18-22 June 2007, Grodno, Belarus. To appear in the Proceedings
null
null
null
math-ph hep-th math.MP
null
Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:41:29 GMT" } ]
2007-07-27T00:00:00
[ [ "Dragovich", "Branko", "" ] ]
0707.3877
Guido Consonni
Guido Consonni, Luca La Rocca
Intrinsic tests for the equality of two correlated proportions
31 pages, 6 figures
null
null
null
math.ST stat.TH
null
Correlated proportions arise in longitudinal (panel) studies. A typical example is the ``opinion swing'' problem: ``Has the proportion of people favoring a politician changed after his recent speech to the nation on TV?''. Since the same group of individuals is interviewed before and after the speech, the two proportions are correlated. A natural null hypothesis to be tested is whether the corresponding population proportions are equal. A standard Bayesian approach to this problem has already been considered in the literature, based on a Dirichlet prior for the cell-probabilities of the underlying two-by-two table under the alternative hypothesis, together with an induced prior under the null. In lack of specific prior information, a diffuse (e.g. uniform) distribution may be used. We claim that this approach is not satisfactory, since in a testing problem one should make sure that the prior under the alternative be adequately centered around the region specified by the null, in order to obtain a fair comparison between the two hypotheses. Following an intrinsic prior methodology, we develop two strategies for the construction of a collection of objective priors increasingly peaked around the null. We provide a simple interpretation of their structure in terms of weighted imaginary sample scenarios. We illustrate our method by means of three examples, carrying out sensitivity analysis and providing comparison with existing results.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:41:39 GMT" } ]
2007-07-27T00:00:00
[ [ "Consonni", "Guido", "" ], [ "La Rocca", "Luca", "" ] ]
0707.3878
Joaquim Borges
Joaquim Borges, Cristina Fernandez
Plotkin construction: rank and kernel
null
null
null
null
cs.IT math.IT
null
Given two binary codes of length n, using Plotkin construction we obtain a code of length 2n. The construction works for linear and nonlinear codes. For the linear case, it is straightforward to see that the dimension of the final code is the sum of the dimensions of the starting codes. For nonlinear codes, the rank and the dimension of the kernel are standard mesures of linearity. In this report, we prove that both parameters are also the sum of the corresponding ones of the starting codes.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:44:05 GMT" } ]
2007-07-27T00:00:00
[ [ "Borges", "Joaquim", "" ], [ "Fernandez", "Cristina", "" ] ]
0707.3879
Ingrid Kraus
I. Kraus, J. Cleymans, H. Oeschler, K. Redlich and S. Wheaton
Chemical Equilibrium in Collisions of Small Systems
9 pages, 8 figures, submitted to Physical Review C
Phys.Rev.C76:064903,2007
10.1103/PhysRevC.76.064903
null
hep-ph
null
The system-size dependence of particle production in heavy-ion collisions at the top SPS energy is analyzed in terms of the statistical model. A systematic comparison is made of two suppression mechanisms that quantify strange particle yields in ultra-relativistic heavy-ion collisions: the canonical model with strangeness correlation radius determined from the data and the model formulated in the canonical ensemble using chemical off-equilibrium strangeness suppression factor. The system-size dependence of the correlation radius and the thermal parameters are obtained for p-p, C-C, Si-Si and Pb-Pb collisions at sqrt(s_NN) = 17.3 AGeV. It is shown that on the basis of a consistent set of data there is no clear difference between the two suppression patterns. In the present study the strangeness correlation radius was found to exhibit a rather weak dependence on the system size.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:57:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Kraus", "I.", "" ], [ "Cleymans", "J.", "" ], [ "Oeschler", "H.", "" ], [ "Redlich", "K.", "" ], [ "Wheaton", "S.", "" ] ]
0707.3880
Michel Brune
Christine Guerlin (LKB - Lhomond), Julien Bernu (LKB - Lhomond), Samuel Del\'eglise (LKB - Lhomond), Cl\'ement Sayrin (LKB - Lhomond), S\'ebastien Gleyzes (LKB - Lhomond), Stefan Kuhr (LKB - Lhomond), Michel Brune (LKB - Lhomond), Jean-Michel Raimond (LKB - Lhomond), Serge Haroche (LKB - Lhomond)
Progressive field-state collapse and quantum non-demolition photon counting
null
Nature 448, 23 (2007) 889
10.1038/nature06057
null
quant-ph
null
The irreversible evolution of a microscopic system under measurement is a central feature of quantum theory. From an initial state generally exhibiting quantum uncertainty in the measured observable, the system is projected into a state in which this observable becomes precisely known. Its value is random, with a probability determined by the initial system's state. The evolution induced by measurement (known as 'state collapse') can be progressive, accumulating the effects of elementary state changes. Here we report the observation of such a step-by-step collapse by measuring non-destructively the photon number of a field stored in a cavity. Atoms behaving as microscopic clocks cross the cavity successively. By measuring the light-induced alterations of the clock rate, information is progressively extracted, until the initially uncertain photon number converges to an integer. The suppression of the photon number spread is demonstrated by correlations between repeated measurements. The procedure illustrates all the postulates of quantum measurement (state collapse, statistical results and repeatability) and should facilitate studies of non-classical fields trapped in cavities.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 19:03:50 GMT" } ]
2008-03-13T00:00:00
[ [ "Guerlin", "Christine", "", "LKB - Lhomond" ], [ "Bernu", "Julien", "", "LKB - Lhomond" ], [ "Deléglise", "Samuel", "", "LKB - Lhomond" ], [ "Sayrin", "Clément", "", "LKB - Lhomond" ], [ "Gleyzes", "Sébastien", "", "LKB - Lhomond" ], [ "Kuhr", "Stefan", "", "LKB - Lhomond" ], [ "Brune", "Michel", "", "LKB - Lhomond" ], [ "Raimond", "Jean-Michel", "", "LKB - Lhomond" ], [ "Haroche", "Serge", "", "LKB - Lhomond" ] ]
0707.3881
Cristiana Bertolin
Cristiana Bertolin
Some tensor products
This paper has been withdrawn by the author because it is a section of the paper "Multilinear morphisms between 1-motives"
null
null
null
math.AG math.NT
null
We define the tensor product of 1-motives with motives of weight 0 and we construct explicitely the 1-motive underlying the quotient M_1 \otimes M_2 / W_{-3}(M_1 \otimes M_2).
[ { "version": "v1", "created": "Thu, 26 Jul 2007 08:58:48 GMT" }, { "version": "v2", "created": "Thu, 22 Jul 2010 12:46:43 GMT" } ]
2010-07-23T00:00:00
[ [ "Bertolin", "Cristiana", "" ] ]
0707.3882
W. Son
Dagomir Kaszlikowski, Wonmin Son, Vlatko Vedral
Dimensionality induced entanglement in macroscopic dimer systems
4 pages, 2 figures
Phys. Rev. A 76, 054302 (2007)
10.1103/PhysRevA.76.054302
null
quant-ph
null
We investigate entanglement properties of mixtures of short-range spin-s dimer coverings in lattices of arbitrary topology and dimension. We show that in one spacial dimension nearest neighbour entanglement exists for any spin $s$. Surprisingly, in higher spatial dimensions there is a threshold value of spin $s$ below which the nearest neighbour entanglement disappears. The traditional "classical" limit of large spin value corresponds to the highest nearest neighbour entanglement that we quantify using the negativity.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 09:02:57 GMT" } ]
2008-10-21T00:00:00
[ [ "Kaszlikowski", "Dagomir", "" ], [ "Son", "Wonmin", "" ], [ "Vedral", "Vlatko", "" ] ]
0707.3883
I.K. Gopalakrishnan
O. D. Jayakumar, I. K. Gopalakrishnan, A. Vinu, A. Asthana and A. K. Tyagi
Room temperature Ferromagnetism in Th1-xFexO2-d (x = 0.0, 0.05, 0.10, 0.15, 0.20 and 0.25) nanoparticles
10 pages, 5 figures
null
null
null
cond-mat.mtrl-sci
null
Nanocrystalline (Th1-xFex)O2-d particles with different Fe concentrations (x = 0.0, 0.05, 0.10, 0.15, 0.20 and 0.25) have been prepared by a gel combustion method. Rietveld refinement analyses of X-ray diffraction data revealed the formation of an impurity free cubic type Th1-xFexO2-d structure up to x = 0.20. This observation is further confirmed from the detailed studies conducted on 10 at. percent Fe doped ThO2 using high-resolution transmission electron microscopy (HRTEM) imaging and indexing of the selected-area electron diffraction (SAED) patterns. DC Magnetization studies as a function field indicate that they are ferromagnetic with Curie temperature (Tc) well above room temperature.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 09:07:18 GMT" } ]
2007-07-27T00:00:00
[ [ "Jayakumar", "O. D.", "" ], [ "Gopalakrishnan", "I. K.", "" ], [ "Vinu", "A.", "" ], [ "Asthana", "A.", "" ], [ "Tyagi", "A. K.", "" ] ]
0707.3884
Philip Smith
P. D. Smith (1), D. Tsiklauri (1), M. S. Ruderman (2) ((1) University of Salford, England, (2) University of Sheffield, England)
Enhanced phase mixing of Alfv\'en waves propagating in stratified and divergent coronal structures
Accepted by A&A - 24th September 2007
A&A 475 3 (2007) 1111-1123
10.1051/0004-6361:20078218
null
astro-ph
null
Corrected analytical solutions describing the enhanced phase mixing of Alfven waves propagating in divergent stratified coronal structures are presented. These show that the enhanced phase mixing mechanism can dissipate Alfven waves at heights less than half that is predicted by the previous analytical solutions. The enhanced phase mixing of 0.1 Hz harmonic Alfven waves propagating in strongly divergent, H_b=5 Mm, stratified coronal structures, H_rho=50 Mm, can fulfill 100% of an active region heating requirement, by generating viscous heating fluxes of F_H~2100 J /m^2 /s. The Alfven waves in this configuration are fully dissipated within 20 Mm, which is six times lower than would occur as a result of standard phase mixing in uniform magnetic fields. This results in the heating scale height, s_H, being lowered by a factor of six, to less than half of an active regions density scale height. Using the corrected analytical solutions it was found that, for a given wave frequency, the generation of a heating scale height of s_H<=50 Mm, by enhanced phase mixing in strongly divergent magnetic fields, requires a shear viscosity eight orders of magnitude lower, than required by standard phase mixing in uniform magnetic fields. It was also found that the enhanced phase mixing of observable, 0.01 rads /s Alfven waves, in strongly divergent magnetic fields, H_b=5 Mm, can generate heating scale heights within a density scale height, H_rho=50 Mm, using classical Braginskii viscosity. It is therefore not necessary to invoke anomalous viscosity in corona, if phase mixing takes place in strongly divergent magnetic fields. This study shows that the importance of enhanced phase mixing as a mechanism for dissipating Alfven waves in the solar corona (a stratified and divergent medium), has been seriously underestimated.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 09:23:06 GMT" }, { "version": "v2", "created": "Thu, 22 Nov 2007 08:02:40 GMT" } ]
2007-11-22T00:00:00
[ [ "Smith", "P. D.", "" ], [ "Tsiklauri", "D.", "" ], [ "Ruderman", "M. S.", "" ] ]
0707.3885
Frank Ferrari
Frank Ferrari (U.L. Bruxelles and Intl. Solvay Inst.)
Microscopic quantum superpotential in N=1 gauge theories
23 pages, 1 figure; typos corrected, version to appear in JHEP
JHEP0710:065,2007
10.1088/1126-6708/2007/10/065
LPTENS-07/33
hep-th
null
We consider the N=1 super Yang-Mills theory with gauge group U(N), adjoint chiral multiplet X and tree-level superpotential Tr W(X). We compute the quantum effective superpotential W_mic as a function of arbitrary off-shell boundary conditions at infinity for the scalar field X. This effective superpotential has a remarkable property: its critical points are in one-to-one correspondence with the full set of quantum vacua of the theory, providing in particular a unified picture of solutions with different ranks for the low energy gauge group. In this sense, W_mic is a good microscopic effective quantum superpotential for the theory. This property is not shared by other quantum effective superpotentials commonly used in the literature, like in the strong coupling approach or the glueball superpotentials. The result of this paper is a first step in extending Nekrasov's microscopic derivation of the Seiberg-Witten solution of N=2 super Yang-Mills theories to the realm of N=1 gauge theories.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 09:46:04 GMT" }, { "version": "v2", "created": "Thu, 25 Oct 2007 14:00:58 GMT" } ]
2008-11-26T00:00:00
[ [ "Ferrari", "Frank", "", "U.L. Bruxelles and Intl. Solvay Inst." ] ]
0707.3886
Ming Yang
Ming Yang
The growth of additive processes
Published at http://dx.doi.org/10.1214/009117906000000593 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Probability 2007, Vol. 35, No. 2, 773-805
10.1214/009117906000000593
IMS-AOP-AOP0178
math.PR
null
Let $X_t$ be any additive process in $\mathbb{R}^d.$ There are finite indices $\delta_i, \beta_i, i=1,2$ and a function $u$, all of which are defined in terms of the characteristics of $X_t$, such that \liminf_{t\to0}u(t)^{-1/\eta}X_t^*= \cases{0, \quad if $\eta>\delta_1$, \cr\infty, \quad if $\eta<\delta_2$,} \limsup_{t\to0}u(t)^{-1/\eta}X_t^*= \cases{0, \quad if $\eta>\beta_2$, \cr\infty, \quad if $\eta<\beta_1$,}\qquad {a.s.}, where $X_t^*=\sup_{0\le s\le t}|X_s|.$ When $X_t$ is a L\'{e}vy process with $X_0=0$, $\delta_1=\delta_2$, $\beta_1=\beta_2$ and $u(t)=t.$ This is a special case obtained by Pruitt. When $X_t$ is not a L\'{e}vy process, its characteristics are complicated functions of $t$. However, there are interesting conditions under which $u$ becomes sharp to achieve $\delta_1=\delta_2$, $\beta_1=\beta_2.$
[ { "version": "v1", "created": "Thu, 26 Jul 2007 09:41:54 GMT" } ]
2011-11-10T00:00:00
[ [ "Yang", "Ming", "" ] ]
0707.3887
Pilar Hernandez
F. Bernardoni, P. Hern\'andez
Finite-size scaling for the left-current correlator with non-degenerate quark masses
27 pages, 4 figures
JHEP 0710:033,2007
10.1088/1126-6708/2007/10/033
IFIC/07-34, FTUV-07-0727
hep-lat
null
We study the volume dependence of the left-current correlator with non-degenerate quark masses to next-to-leading order in the chiral expansion. We consider three possible regimes: all quark masses are in the $\epsilon$-regime, all are in the $p$-regime and a mixed-regime where the lighest quark masses satisfy $m_v \Sigma V \leq 1$ while the heavier $m_s \Sigma V \gg 1$. These results can be used to match lattice QCD and the Chiral Effective Theory in a large but finite box in which the Compton wavelength of the lightest pions is of the order of the box size. We consider both the full and partially-quenched results.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 15:30:01 GMT" } ]
2010-02-03T00:00:00
[ [ "Bernardoni", "F.", "" ], [ "Hernández", "P.", "" ] ]
0707.3888
Ariel Yadin
Itai Benjamini, Ariel Yadin, Ofer Zeitouni
Maximal Arithmetic Progressions in Random Subsets
Slight errors in the constants corrected
Electronic Communications in Probability 12 (2007), 365-376
null
null
math.PR math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let U(N) denote the maximal length of arithmetic progressions in a random uniform subset of {0,1}^N. By an application of the Chen-Stein method, we show that U(N)- 2 log(N)/log(2) converges in law to an extreme type (asymmetric) distribution. The same result holds for the maximal length W(N) of arithmetic progressions (mod N). When considered in the natural way on a common probability space, we observe that U(N)/log(N) converges almost surely to 2/log(2), while W(N)/log(N) does not converge almost surely (and in particular, limsup W(N)/log(N) is at least 3/log(2)).
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:03:28 GMT" }, { "version": "v2", "created": "Mon, 21 May 2012 10:12:30 GMT" } ]
2012-05-22T00:00:00
[ [ "Benjamini", "Itai", "" ], [ "Yadin", "Ariel", "" ], [ "Zeitouni", "Ofer", "" ] ]
0707.3889
Stephane Toulin
Yves Garrabos (ICMCB), Carole Lecoutre-Chabot (ICMCB), Fabien Palencia (ICMCB)
Analytic application of the mean crossover function to the description of the isothermal compressibility of xenon
null
null
null
null
cond-mat.stat-mech
null
We use the mean crossover functions [Garrabos and Bervillier, Phys Rev. E 74, 021113 (2006)] estimated from the bounded results of the Massive Renormalization scheme applied to the $\Phi_{d}^{4}(n)$ model in three dimensions ($d=3$) and scalar order parameter ($n=1$) [Bagnuls and Bervillier, Phys. Rev. E 65, 066132 (2002)], to represent the singular behavior of the isothermal compressibility of xenon along the critical isochore in the homogeneous preasymptotic domain. The validity range and the Ising nature of the crossover description are discussed in terms of a single scale factor whose value can be analytically estimated beyond the Ising-like preasymptotic domain.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:05:11 GMT" } ]
2007-07-27T00:00:00
[ [ "Garrabos", "Yves", "", "ICMCB" ], [ "Lecoutre-Chabot", "Carole", "", "ICMCB" ], [ "Palencia", "Fabien", "", "ICMCB" ] ]
0707.3890
Christophe Texier
M. Ferrier, A. C. H. Rowe, S. Gueron, H. Bouchiat, C. Texier and G. Montambaux
Geometrical dependence of decoherence by electronic interactions in a GaAs/GaAlAs square network
LaTeX, 5 pages, 4 eps figures
Phys. Rev. Lett. 100, 146802 (2008)
10.1103/PhysRevLett.100.146802
null
cond-mat.mes-hall cond-mat.dis-nn
null
We investigate weak localization in metallic networks etched in a two dimensional electron gas between $25\:$mK and $750\:$mK when electron-electron (e-e) interaction is the dominant phase breaking mechanism. We show that, at the highest temperatures, the contributions arising from trajectories that wind around the rings and trajectories that do not are governed by two different length scales. This is achieved by analyzing separately the envelope and the oscillating part of the magnetoconductance. For $T\gtrsim0.3\:$K we find $\Lphi^\mathrm{env}\propto{T}^{-1/3}$ for the envelope, and $\Lphi^\mathrm{osc}\propto{T}^{-1/2}$ for the oscillations, in agreement with the prediction for a single ring \cite{LudMir04,TexMon05}. This is the first experimental confirmation of the geometry dependence of decoherence due to e-e interaction.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:12:09 GMT" }, { "version": "v2", "created": "Wed, 9 Apr 2008 15:18:32 GMT" } ]
2008-04-09T00:00:00
[ [ "Ferrier", "M.", "" ], [ "Rowe", "A. C. H.", "" ], [ "Gueron", "S.", "" ], [ "Bouchiat", "H.", "" ], [ "Texier", "C.", "" ], [ "Montambaux", "G.", "" ] ]
0707.3891
Naoum Karchev Prof.
Vasil Michev and Naoum Karchev
Curie temperature of the two band double exchange model for manganites
14 pages, 9 figures
Physical Review B 76, 174412 (2008)
10.1103/PhysRevB.76.174412
null
cond-mat.str-el
null
We consider two-band double exchange model and calculate the critical temperature in ferromagnetic regime (Curie temperature). The localized spins are represented in terms of the Schwinger-bosons, and two spin-singlet Fermion operators are introduced. In terms of the new Fermi fields the on-site Hund's interactions are in a diagonal form and one accounts for them exactly. Integrating out the spin-singlet fermions we derive an effective Heisenberg type model for a vector which describes the local orientations of the total magnetization. The transversal fluctuations of the vector are the true magnons in the theory, which is a base for Curie temperature calculation. The critical temperature is calculated employing the Schwinger-bosons mean-field theory. While approximate, this technic of calculation captures the essentials of the magnon fluctuations in the theory, and for 2D systems one obtains zero Curie temperature, in accordance with Mermin-Wagner theorem.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:15:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Michev", "Vasil", "" ], [ "Karchev", "Naoum", "" ] ]
0707.3892
Vladimir Nazaikinskii
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
On elliptic differential operators with shifts: II. The cohomological index formula
9 pages
null
null
null
math.OA math.AP math.KT
null
This paper is a continuation of arXiv:0706.3511, where we obtained a local index formula for matrix elliptic operators with shifts. Here we establish a cohomological index formula of Atiyah-Singer type for elliptic differential operators with shifts acting between section spaces of arbitrary vector bundles. The key step is the construction of closed graded traces on certain differential algebras over the symbol algebra for this class of operators.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:23:40 GMT" } ]
2007-07-27T00:00:00
[ [ "Nazaikinskii", "V. E.", "" ], [ "Savin", "A. Yu.", "" ], [ "Sternin", "B. Yu.", "" ] ]
0707.3893
Massimo Mannarelli
Massimo Mannarelli and Cristina Manuel
Jet-induced gauge field instabilities in the quark-gluon plasma: A kinetic theory approach
13 pages, 6 figures
Phys.Rev.D77:054018,2008
10.1103/PhysRevD.77.054018
null
hep-ph
null
We discuss the properties of the collective modes of a system composed by a thermalized quark-gluon plasma traversed by a relativistic jet of partons. The transport equations obeyed by the components of the plasma and of the jet are studied in the Vlasov approximation. Assuming that the partons in the jet can be described with a tsunami-like distribution function we derive the expressions of the dispersion law of the collective modes. Then the behavior of the unstable gauge modes of the system is analyzed for various values of the velocity of the jet, of the momentum of the collective modes and of the angle between these two quantities. We find that the most unstable modes are those with momentum orthogonal to the velocity of the jet and that these instabilities appear when the velocity of the jet is higher than a threshold value, which depends on the plasma and jet frequencies. The results obtained within the Vlasov approximation are compared with the corresponding results obtained using a chromohydrodynamical approach.The effect we discuss here suggests a possible collective mechanism for the description of the jet quenching phenomena in heavy ion collisions.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:35:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Mannarelli", "Massimo", "" ], [ "Manuel", "Cristina", "" ] ]
0707.3894
Harish Seshadri
Harish Seshadri
Manifolds with nonnegative isotropic curvature
12 Pages
Communications in Analysis and Geometry 17 (2009), no. 4, 621-635
null
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that if $(M^n,g)$, $n \ge 4$, is a compact, orientable, locally irreducible Riemannian manifold with nonnegative isotropic curvature, then one of the following possibilities hold: (i) $M$ admits a metric with positive isotropic curvature (ii) $(M,g)$ is isometric to a locally symmetric space (iii) $(M,g)$ is K\"ahler and biholomorphic to $\C P^\frac {n}{2}$. (iv) $(M,g)$ is quaternionic-K\"ahler. This is implied by the following result: Let $(M^{2n},g)$ be a compact, locally irreducible K\"ahler manifold with nonnegative isotropic curvature. Then either $M$ is biholomorphic to $\C P^n$ or isometric to a compact Hermitian symmetric space. This answers a question of Micallef and Wang in the affirmative. The proof is based on the recent work of S. Brendle and R. Schoen on the Ricci flow.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:43:21 GMT" }, { "version": "v2", "created": "Mon, 17 Sep 2007 04:15:21 GMT" }, { "version": "v3", "created": "Wed, 14 May 2008 17:29:35 GMT" }, { "version": "v4", "created": "Fri, 8 Apr 2011 10:50:49 GMT" } ]
2011-04-11T00:00:00
[ [ "Seshadri", "Harish", "" ] ]
0707.3895
Michael Eisermann
Michael Eisermann
Knot colouring polynomials
24 pages, 6 figures
Pacific Journal of Mathematics 231 (2007), no. 2, 305-336
null
null
math.GT
null
This article introduces a natural extension of colouring numbers of knots, called colouring polynomials, and studies their relationship to Yang-Baxter invariants and quandle 2-cocycle invariants. For a knot K in the 3-sphere let \pi_K be the fundamental group of the knot complement, and let (m_K,l_K) be a meridian-longitude pair in \pi_K. Given a finite group G and an element x in G, we consider the set of representations \rho from \pi_K to G that map the meridian m_K to x, and define the colouring polynomial P(K) as the sum over all longitude images \rho(l_K). The resulting invariant maps knots to the group ring Z[G]. It is multiplicative with respect to connected sum and equivariant with respect to symmetry operations of knots. Examples are given to show that colouring polynomials distinguish knots for which other invariants fail, in particular they can distinguish knots from their mutants, obverses, inverses, or reverses. We prove that every quandle 2-cocycle state-sum invariant of knots is a specialization of some knot colouring polynomial. This provides a complete topological interpretation of these invariants in terms of the knot group and its peripheral system. Furthermore, we show that P can be presented as a Yang-Baxter invariant, i.e. as the trace of some linear braid group representation. This entails in particular that Yang-Baxter invariants can detect non-inversible and non-reversible knots.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 11:05:51 GMT" } ]
2007-11-20T00:00:00
[ [ "Eisermann", "Michael", "" ] ]
0707.3896
Dorothy Buck
Dorothy Buck and Erica Flapan
A Topological Characterization Of Knots and Links Arising From Site-Specific Recombination
18 pages, 3 tables, 18 figures. See also arXiv:0707.3775v1 for biological evidence for and applications of the model developed here
null
10.1088/1751-8113/40/41/008
null
math.GT
null
We develop a topological model of knots and links arising from a single (or multiple processive) round(s) of recombination starting with an unknot, unlink, or (2,m)-torus knot or link substrate. We show that all knotted or linked products fall into a single family, and prove that the size of this family grows linearly with the cube of the minimum number of crossings. Additionally, we prove that the only possible products of an unknot substrate are either clasp knots and links or (2,m)-torus knots and links. Finally, in the (common) case of (2,m)-torus knot or link substrates whose products have minimal crossing number m+1, we prove that the types of products are tightly prescribed, and use this to examine previously uncharacterized experimental data.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:59:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Buck", "Dorothy", "" ], [ "Flapan", "Erica", "" ] ]
0707.3897
F. S. Bergeret
F. S. Bergeret, A. Levy Yeyati, A. Martin-Rodero
Josephson effect through a quantum dot array
9 pages, 8 figures
Phys. Rev. B 76, 174510 (2007)
10.1103/PhysRevB.76.174510
null
cond-mat.supr-con cond-mat.str-el
null
We analyze the ground state properties of an array of quantum dots connected in series between superconducting electrodes. This system is represented by a finite Hubbard chain coupled at both ends to BCS superconductors. The ground state is obtained using the Lanczos algorithm within a low energy theory in which the bulk superconductors are replaced by effective local pairing potentials. We study the conditions for the inversion of the sign of the Josephson coupling ($\pi$-junction behavior) as a function of the model parameters. Results are presented in the form of phase diagrams which provide a direct overall view of the general trends as the size of the system is increased, exhibiting a strong even-odd effect. The analysis of the spin-spin correlation functions and local charges give further insight into the nature of the ground state and how it is transformed by the presence of superconductivity in the leads. Finally we study the scaling of the Josephson current with the system size and relate these results with previous calculations of Josephson transport through a Luttinger liquid.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 10:49:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Bergeret", "F. S.", "" ], [ "Yeyati", "A. Levy", "" ], [ "Martin-Rodero", "A.", "" ] ]
0707.3898
Andrew R. Wade
Mathew D. Penrose and Andrew R. Wade
Multivariate normal approximation in geometric probability
23 pages
Journal of Statistical Theory and Practice, Vol. 2 (2008), no. 2, p. 293-326
10.1080/15598608.2008.10411876
null
math.PR
null
Consider a measure $\mu_\lambda = \sum_x \xi_x \delta_x$ where the sum is over points $x$ of a Poisson point process of intensity $\lambda$ on a bounded region in $d$-space, and $\xi_x$ is a functional determined by the Poisson points near to $x$, i.e. satisfying an exponential stabilization condition, along with a moments condition (examples include statistics for proximity graphs, germ-grain models and random sequential deposition models). A known general result says the $\mu_\lambda$-measures (suitably scaled and centred) of disjoint sets in $R^d$ are asymptotically independent normals as $\lambda \to \infty$; here we give an $O(\lambda^{-1/(2d + \epsilon)})$ bound on the rate of convergence. We illustrate our result with an explicit multivariate central limit theorem for the nearest-neighbour graph on Poisson points on a finite collection of disjoint intervals.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 11:10:48 GMT" } ]
2013-02-05T00:00:00
[ [ "Penrose", "Mathew D.", "" ], [ "Wade", "Andrew R.", "" ] ]
0707.3899
Daniel Arteaga
Daniel Arteaga
Particle propagation in non-trivial backgrounds: a quantum field theory approach
269 pages, 17 figures. PhD thesis, Universitat de Barcelona. One reference added, minor typos corrected
null
null
null
hep-ph gr-qc hep-th
null
The basic aim of the thesis is the study of the propagation of particles and quasiparticles in non-trivial backgrounds from the quantum field theory point of view. By "non-trivial background" we mean either a non-vacuum state in Minkowski spacetime or an arbitrary state in a curved spacetime. Starting with the case of a flat spacetime, the basic properties of the particle and quasiparticle propagation are analyzed using two different methods other than the conventional mean-field-based techniques: on the one hand, the quantum state corresponding to the quasiparticle excitation is explicitly constructed; on the other hand, the spectral representation of the two-point propagators is analyzed. Both methods lead to the same results: the energy and decay rate of the quasiparticles are determined by the real and imaginary parts of the retarded self-energy respectively. These general results are applied to two particular quantum systems: first, a scalar particle immersed in a thermal graviton bath; second, a simplified atomic model, seizing the opportunity to connect with other statistical and first-quantized approaches. In the second part of the thesis the results are extended to curved spacetime. Working with a quasilocal quasiparticle concept the flat-spacetime results are recovered. In cosmology, within the adiabatic approximation, it is possible to go beyond the flat spacetime results and find additional effects due to the universe expansion. The cosmologically-induced effects are analyzed, obtaining that there might be an additional contribution to the particle decay due to the universe expansion. In the de Sitter case, this additional contribution coincides with the decay rate in a thermal bath in a flat spacetime at the corresponding de Sitter temperature.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 11:07:00 GMT" }, { "version": "v2", "created": "Thu, 13 Sep 2007 14:07:07 GMT" } ]
2016-09-08T00:00:00
[ [ "Arteaga", "Daniel", "" ] ]
0707.3900
Evgeny Korotyaev
Andrey Badanin, Jochen Br\"uning, Evgeny Korotyaev
Schr\"odinger operators on armchair nanotubes. II
17 pages
null
null
null
math.SP math-ph math.MP
null
We consider the Schr\"odinger operator with a periodic potential on quasi-1D models of armchair single-wall nanotubes. The spectrum of this operator consists of an absolutely continuous part (intervals separated by gaps) plus an infinite number of eigenvalues with infinite multiplicity. We describe the absolutely continuous spectrum of the Schr\"odinger operator: 1) the multiplicity, 2) endpoints of the gaps, they are given by periodic or antiperiodic eigenvalues or resonances (branch points of the Lyapunov function), 3) resonance gaps, where the Lyapunov function is non-real. We determine the asymptotics of the gaps at high energy.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 11:21:34 GMT" } ]
2007-07-27T00:00:00
[ [ "Badanin", "Andrey", "" ], [ "Brüning", "Jochen", "" ], [ "Korotyaev", "Evgeny", "" ] ]
0707.3901
Bertrand Giraud
B. G. Giraud
Laboratory Density Functionals
3 pages
null
null
null
nucl-th
null
We compare several definitions of the density of a self-bound system, such as a nucleus, in relation with its center-of-mass zero-point motion. A trivial deconvolution relates the internal density to the density defined in the laboratory frame. This result is useful for the practical definition of density functionals.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:37:15 GMT" } ]
2007-07-27T00:00:00
[ [ "Giraud", "B. G.", "" ] ]
0707.3902
Massimo Di Toro
M. Colonna, J. Rizzo, Ph. Chomaz, M. Di Toro
Probing the nuclear EOS with fragment production
10 pages, 4 figures; Int.Nucl.Phys.Conf., Tokyo June 07, to appear in Nucl.Phys.A (Elsart)
Nucl.Phys.A805:454-461,2008
10.1016/j.nuclphysa.2008.02.266
null
nucl-th
null
We discuss fragmentation mechanisms and isospin transport occurring in central collisions between neutron rich systems at Fermi energies. In particular, isospin effects are analyzed looking at the correlations between fragment isotopic content and kinematical properties. Simulations are based on an approximate solution of the Boltzmann-Langevin (BL) equation. An attempt to solve the complete BL equation, by introducing full fluctuations in phase space is also discussed.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 11:37:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Colonna", "M.", "" ], [ "Rizzo", "J.", "" ], [ "Chomaz", "Ph.", "" ], [ "Di Toro", "M.", "" ] ]
0707.3903
Silvio Capobianco
Silvio Capobianco
Multidimensional cellular automata and generalization of Fekete's lemma
6 pages, no figures, LaTeX. Improved some explanations; revised structure; added examples; renamed "hypercubes" into "right polytopes"; added references to Arratia's paper on EJC, Calude's book, Cook's proof of Rule 110 universality, and arXiv paper 0709.1173
null
null
null
math.GM math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Fekete's lemma is a well known combinatorial result on number sequences: we extend it to functions defined on $d$-tuples of integers. As an application of the new variant, we show that nonsurjective $d$-dimensional cellular automata are characterized by loss of arbitrarily much information on finite supports, at a growth rate greater than that of the support's boundary determined by the automaton's neighbourhood index.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 11:40:55 GMT" }, { "version": "v2", "created": "Tue, 14 Aug 2007 13:13:11 GMT" }, { "version": "v3", "created": "Tue, 17 Jun 2008 13:51:32 GMT" } ]
2008-06-17T00:00:00
[ [ "Capobianco", "Silvio", "" ] ]
0707.3904
Jasper Kirkby
A. Barczyk, J. Kirkby, L. Malgeri (CERN), J. Berdugo, J. Casaus, C. Mana, J. Marin, G. Martinez, E. Sanchez, C. Willmott (CIEMAT), C. Casella, M. Pohl (University of Geneva), K. Deiters, P. Dick, C. Petitjean (PSI) (for the FAST Collaboration)
Measurement of the Fermi Constant by FAST
15 pages, 6 figures
Phys.Lett.B663:172-180,2008
10.1016/j.physletb.2008.04.006
null
hep-ex
null
An initial measurement of the lifetime of the positive muon to a precision of 16 parts per million (ppm) has been performed with the FAST detector at the Paul Scherrer Institute. The result is tau_mu = 2.197083 (32) (15) microsec, where the first error is statistical and the second is systematic. The muon lifetime determines the Fermi constant, G_F = 1.166353 (9) x 10^-5 GeV^-2 (8 ppm).
[ { "version": "v1", "created": "Thu, 26 Jul 2007 11:49:33 GMT" }, { "version": "v2", "created": "Tue, 31 Jul 2007 12:51:41 GMT" } ]
2019-08-13T00:00:00
[ [ "Barczyk", "A.", "", "CERN" ], [ "Kirkby", "J.", "", "CERN" ], [ "Malgeri", "L.", "", "CERN" ], [ "Berdugo", "J.", "", "CIEMAT" ], [ "Casaus", "J.", "", "CIEMAT" ], [ "Mana", "C.", "", "CIEMAT" ], [ "Marin", "J.", "", "CIEMAT" ], [ "Martinez", "G.", "", "CIEMAT" ], [ "Sanchez", "E.", "", "CIEMAT" ], [ "Willmott", "C.", "", "CIEMAT" ], [ "Casella", "C.", "", "University of Geneva" ], [ "Pohl", "M.", "", "University of Geneva" ], [ "Deiters", "K.", "", "PSI" ], [ "Dick", "P.", "", "PSI" ], [ "Petitjean", "C.", "", "PSI" ] ]
0707.3905
Daphne Stam
D. M. Stam
Spectropolarimetric signatures of Earth-like extrasolar planets
31 pages text, 17 figures, 1 table Submitted to A&A
null
10.1051/0004-6361:20078358
null
astro-ph
null
We present results of numerical simulations of the flux (irradiance), F, and the degree of polarization (i.e. the ratio of polarized to total flux), P, of light that is reflected by Earth-like extrasolar planets orbiting solar-type stars, as functions of the wavelength (from 0.3 to 1.0 micron, with 0.001 micron spectral resolution) and as functions of the planetary phase angle. We use different surface coverages for our model planets, including vegetation and a Fresnel reflecting ocean, and clear and cloudy atmospheres. Our adding-doubling radiative transfer algorithm, which fully includes multiple scattering and polarization, handles horizontally homogeneous planets only; we simulate fluxes and polarization of horizontally inhomogeneous planets by weighting results for homogeneous planets. Like the flux, F, the degree of polarization, P, of the reflected starlight is shown to depend strongly on the phase angle, on the composition and structure of the planetary atmosphere, on the reflective properties of the underlying surface, and on the wavelength, in particular in wavelength regions with gaseous absorption bands. The sensitivity of P to a planet's physical properties appears to be different than that of F. Combining flux with polarization observations thus makes for a strong tool for characterizing extrasolar planets. The calculated total and polarized fluxes will be made available through the CDS.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:07:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Stam", "D. M.", "" ] ]
0707.3906
Zhoujian Cao Dr
Zhoujian Cao, Pengfei Li, Hong Zhang and Gang Hu
Negative phase velocity in nonlinear oscillatory systems --mechanism and parameter distributions
null
null
10.1142/S0217979207045360
null
cond-mat.mtrl-sci
null
Waves propagating inwardly to the wave source are called antiwaves which have negative phase velocity. In this paper the phenomenon of negative phase velocity in oscillatory systems is studied on the basis of periodically paced complex Ginzbug-Laundau equation (CGLE). We figure out a clear physical picture on the negative phase velocity of these pacing induced waves. This picture tells us that the competition between the frequency $\omega_{out}$ of the pacing induced waves with the natural frequency $\omega_{0}$ of the oscillatory medium is the key point responsible for the emergence of negative phase velocity and the corresponding antiwaves. $\omega_{out}\omega_{0}>0$ and $|\omega_{out}|<|\omega_{0}|$ are the criterions for the waves with negative phase velocity. This criterion is general for one and high dimensional CGLE and for general oscillatory models. Our understanding of antiwaves predicts that no antispirals and waves with negative phase velocity can be observed in excitable media.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:11:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Cao", "Zhoujian", "" ], [ "Li", "Pengfei", "" ], [ "Zhang", "Hong", "" ], [ "Hu", "Gang", "" ] ]
0707.3907
Benno List
Michael Klasen, Benno List, Stephanie Hansmann-Menzemer and Rainer Mankel
Summary of the Heavy Flavor Working Group
17 pages, 3 figures, to appear in the Proceedings of the XV International Workshop on Deep-Inelastic Scattering and Related Subjectes, DIS 2007, April 16--20, 2007, Munich, Germany
null
null
LPSC 07-73
hep-ph
null
During the last year many important results have been achieved in heavy flavour physics: New measurements of charm and beauty production have been performed at HERA and the Tevatron. A wealth of new spectroscopy data with several new, unexpected states in the charmonium and the D_s systems has been collected and b to d gamma transitions have been established. The oscillation frequency in the B_s Bbar_s is now measured, and mixing in the D0 D0bar system has been observed. Theoretical progress in the areas of open heavy flavour production, quarkonium production and decays, and multiquark spectroscopy has been presented at this workshop.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:12:25 GMT" } ]
2007-07-27T00:00:00
[ [ "Klasen", "Michael", "" ], [ "List", "Benno", "" ], [ "Hansmann-Menzemer", "Stephanie", "" ], [ "Mankel", "Rainer", "" ] ]
0707.3908
Roberto Raimondi
Cosimo Gorini, Peter Schwab, Michael Dzierzawa, Roberto Raimondi
Quasiclassical approach and spin-orbit coupling
3 pages, Submitted to Physica E
null
10.1016/j.physe.2007.08.006
null
cond-mat.mes-hall
null
We discuss the quasiclassical Green function method for a two-dimensional electron gas in the presence of spin-orbit coupling, with emphasis on the meaning of the $\xi$-integration procedure. As an application of our approach, we demonstrate how the spin-Hall conductivity, in the presence of spin-flip scattering, can be easily obtained from the spin-density continuity equation.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:12:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Gorini", "Cosimo", "" ], [ "Schwab", "Peter", "" ], [ "Dzierzawa", "Michael", "" ], [ "Raimondi", "Roberto", "" ] ]
0707.3909
Evgeny Korotyaev
Andrey Badanin, Jochen Br\"uning, Evgeny Korotyaev, Igor Lobanov
Schr\"odinger operators on armchair nanotubes. I
17 pages
null
null
null
math-ph math.MP math.SP
null
We consider the Schr\"odinger operator with a periodic potential on quasi-1D models of armchair single-wall nanotubes. The spectrum of this operator consists of an absolutely continuous part (intervals separated by gaps) plus an infinite number of eigenvalues with infinite multiplicity. We describe all eigenfunctions with the same eigenvalue. We define a Lyapunov function, which is analytic on some Riemann surface. On each sheet, the Lyapunov function has the same properties as in the scalar case, but it has branch points, which we call resonances. In example we show the existence of real and complex resonances for some specific potentials.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:16:50 GMT" } ]
2007-07-27T00:00:00
[ [ "Badanin", "Andrey", "" ], [ "Brüning", "Jochen", "" ], [ "Korotyaev", "Evgeny", "" ], [ "Lobanov", "Igor", "" ] ]
0707.3910
Victor H. Moll
George Boros and Victor H. Moll
Landen transformations and the integration of rational functions
20 pages
Math. Comp. 71, 2002, 649-668
null
null
math.CA
null
We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class of integrals of even rational functions and to develop an algorithm for the numerical integration of these functions.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:27:33 GMT" } ]
2007-07-27T00:00:00
[ [ "Boros", "George", "" ], [ "Moll", "Victor H.", "" ] ]
0707.3911
Victor H. Moll
Dante Manna and Victor H. Moll
A simple example of a new class of Landen transformation
12 pages
Amer. Math. Monthly 114, 2007, 232-241
null
null
math.CA
null
The rational Landen transformation is a map on the coefficients of a rational integrand that preserves the value of the integral. This is the rational analog of the classical Landen transformations for elliptic integrals that leads to the arithmetic-geometric mean of Legendre and Gauss. We present the effect of this transformation in the simplest possible case.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:39:19 GMT" } ]
2007-07-27T00:00:00
[ [ "Manna", "Dante", "" ], [ "Moll", "Victor H.", "" ] ]
0707.3912
Thi Nguyet Trinh
Thi Nguyet Trinh (for the H1 Collaboration)
Search for Excited Leptons at HERA
4 pages, 3 figures; To appear in the proceedings of 15th International Workshop on Deep Inelastic Scattering and Related Subjects (DIS 2007), Munich, Germany, 16-20 Apr 2007
null
null
null
hep-ex
null
Searches for excited electrons and neutrinos have been performed using the complete HERA I and II data samples collected by the H1 detector at $\sqrt{s}=320$ GeV corresponding to an integrated luminosity of up to 435 pb$^{-1}$. In absence of a signal, the limits on the ratio of the coupling to the compositeness scale derived extend the excluded region to higher masses than has been possible in previous searches.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:13:21 GMT" } ]
2019-08-14T00:00:00
[ [ "Trinh", "Thi Nguyet", "", "for the H1 Collaboration" ] ]
0707.3913
Marco Lucamarini
M. Lucamarini, J. S. Shaari, M. R. B. Wahiddin
Deterministic Rendering of BB84 for Practical Quantum Cryptography
9 pages, 2 figures
null
null
null
quant-ph
null
We describe how to modify the BB84 protocol for quantum cryptography in order to make it deterministic. We study both theoretical and experimental aspects of this issue, showing that the new scheme is as secure as the old one, more efficient on small-scale distances, and within the range of current technology.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 12:56:04 GMT" } ]
2007-07-27T00:00:00
[ [ "Lucamarini", "M.", "" ], [ "Shaari", "J. S.", "" ], [ "Wahiddin", "M. R. B.", "" ] ]
0707.3914
Marat Rovinsky
U. Jannsen, M. Rovinsky
Smooth representations and sheaves
20 pages, final version
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The paper is concerned with `geometrization' of smooth (i.e. with open stabilizers) representations of the automorphism group of universal domains, and with the properties of `geometric' representations of such groups. As an application, we calculate the cohomology groups of several classes of smooth representations of the automorphism group of an algebraically closed extension of infinite transcendence degree of an algebraically closed field.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:08:19 GMT" }, { "version": "v2", "created": "Thu, 27 Nov 2008 14:27:36 GMT" }, { "version": "v3", "created": "Tue, 7 Apr 2009 16:25:01 GMT" } ]
2009-04-07T00:00:00
[ [ "Jannsen", "U.", "" ], [ "Rovinsky", "M.", "" ] ]
0707.3915
Stephane Toulin
Yves Garrabos (ICMCB), Carole Lecoutre-Chabot (ICMCB), Fabien Palencia (ICMCB), Bernard Le Neindre (LIMHP), Can John Erkey
Master crossover functions for the one-component fluid "subclass"
null
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 77, 2 (2008) 021116 (26 p.)
10.1103/PhysRevE.77.021116
null
cond-mat.stat-mech
null
Introducing three well-defined dimensionless numbers, we establish the link between the scale dilatation method able to estimate master (i.e. unique) singular behaviors of the one-component fluid "subclass" and the universal crossover functions recently estimated [Garrabos and Bervillier, Phys. Rev. E 74, 021113 (2006)] from the bounded results of the massive renormalization scheme applied to the...
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:10:54 GMT" } ]
2008-02-18T00:00:00
[ [ "Garrabos", "Yves", "", "ICMCB" ], [ "Lecoutre-Chabot", "Carole", "", "ICMCB" ], [ "Palencia", "Fabien", "", "ICMCB" ], [ "Neindre", "Bernard Le", "", "LIMHP" ], [ "Erkey", "Can John", "" ] ]
0707.3916
Leandro Aolita
L. Aolita, K. Kim, J. Benhelm, C. F. Roos, and H. H\"affner
High-fidelity ion-trap quantum computing with hyperfine clock states
4 pages, 1 figure
Phys. Rev. A 76, 040303(R) 2007
10.1103/PhysRevA.76.040303
null
quant-ph
null
We propose the implementation of a geometric-phase gate on magnetic-field-insensitive qubits with $\hat{\sigma}^z$-dependent forces for trapped ion quantum computing. The force is exerted by two laser beams in a Raman configuration. Qubit-state dependency is achieved by a small frequency detuning from the virtually-excited state. Ion species with excited states of long radiative lifetimes are used to reduce the chance of a spontaneous photon emission to less than 10$^{-8}$ per gate-run. This eliminates the main source of gate infidelity of previous implementations. With this scheme it seems possible to reach the fault tolerant threshold.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:24:18 GMT" }, { "version": "v2", "created": "Mon, 13 Aug 2007 01:14:02 GMT" }, { "version": "v3", "created": "Mon, 27 Aug 2007 14:56:51 GMT" }, { "version": "v4", "created": "Fri, 19 Oct 2007 15:02:10 GMT" }, { "version": "v5", "created": "Wed, 24 Oct 2007 03:14:10 GMT" } ]
2009-11-13T00:00:00
[ [ "Aolita", "L.", "" ], [ "Kim", "K.", "" ], [ "Benhelm", "J.", "" ], [ "Roos", "C. F.", "" ], [ "Häffner", "H.", "" ] ]
0707.3917
David Menzies
David Menzies and Natalia Korolkova
Weak Values and Continuous-Variable Entanglement Concentration
4 pages, 1 figure, Final version to appear in Phys. Rev. A
null
10.1103/PhysRevA.76.062310
null
quant-ph
null
We demonstrate a general weak measurement model which allows Gaussian preserving entanglement concentration of the two mode squeezed vacuum. The power of this simple and elegant protocol is through the constraints it places on possible ancilla states and measurement strategies that will allow entanglement concentration. In particular, it is shown how previously discovered protocols of this kind emerge as special examples of the general model described here. Finally, as evidence of its utility, we use it to provide another novel example of such a protocol.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:32:22 GMT" }, { "version": "v2", "created": "Thu, 1 Nov 2007 13:46:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Menzies", "David", "" ], [ "Korolkova", "Natalia", "" ] ]
0707.3918
Stefano Bellucci
S. Bellucci, F. Carillo and P. Onorato
Spin separation in a T ballistic nanojunction due to lateral-confinement-induced spin-orbit-coupling
6 pages, 5 figures, PACS numbers: 72.25.-b, 72.20.My, 73.50.Jt, accepted for publication in J. Phys. - Cond. Mat
null
10.1088/0953-8984/19/39/395018
null
cond-mat.mes-hall
null
We propose a new scheme of spin filtering employing ballistic nanostructures in two dimensional electron gases (2DEGs). The proposal is essentially based on the spin-orbit (SO) interaction arising from the lateral confining electric field. This sets the basic difference with other works employing ballistic crosses and T junctions with the conventional SO term arising from 2DEG confinement. We discuss the consequences of this different approach on magnetotransport properties of the device, showing that the filter can in principle be used not only to generate a spin polarized current but also to perform an electric measurement of the spin polarization of a charge current. We focus on single-channel transport and investigate numerically the spin polarization of the current.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:35:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Bellucci", "S.", "" ], [ "Carillo", "F.", "" ], [ "Onorato", "P.", "" ] ]
0707.3919
Tomas Janssen
Tomas Janssen and Tomislav Prokopec
A graviton propagator for inflation
23 pages
Class.Quant.Grav.25:055007,2008
10.1088/0264-9381/25/5/055007
ITP-UU-07/37, SPIN-07/25
gr-qc
null
We construct the scalar and graviton propagator in quasi de Sitter space up to first order in the slow roll parameter $\epsilon\equiv -\dot{H}/H^2$. After a rescaling, the propagators are similar to those in de Sitter space with an $\epsilon$ correction to the effective mass. The limit $\epsilon\to 0$ corresponds to the E(3) vacuum that breaks de Sitter symmetry, but does not break spatial isotropy and homogeneity. The new propagators allow for a self-consistent, dynamical study of quantum back-reaction effects during inflation.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:52:36 GMT" } ]
2009-11-13T00:00:00
[ [ "Janssen", "Tomas", "" ], [ "Prokopec", "Tomislav", "" ] ]
0707.3920
Chris Van Den Broeck
K. G. Arun, Bala R. Iyer, B.S. Sathyaprakash, Siddhartha Sinha, Chris Van Den Broeck
Higher signal harmonics, LISA's angular resolution, and dark energy
15 pages, no figures. Final version to appear in Phys. Rev. D
Phys.Rev.D76:104016,2007; Erratum-ibid.D76:129903,2007
10.1103/PhysRevD.76.104016 10.1103/PhysRevD.76.129903
null
astro-ph gr-qc
null
It is generally believed that the angular resolution of the Laser Interferometer Space Antenna (LISA) for binary supermassive black holes (SMBH) will not be good enough to identify the host galaxy or galaxy cluster. This conclusion, based on using only the dominant harmonic of the binary SMBH signal, changes substantially when higher signal harmonics are included in assessing the parameter estimation problem. We show that in a subset of the source parameter space the angular resolution increases by more than a factor of 10, thereby making it possible for LISA to identify the host galaxy/galaxy cluster. Thus, LISA's observation of certain binary SMBH coalescence events could constrain the dark energy equation of state to within a few percent, comparable to the level expected from other dark energy missions.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:47:42 GMT" }, { "version": "v2", "created": "Wed, 24 Oct 2007 14:22:06 GMT" } ]
2014-11-18T00:00:00
[ [ "Arun", "K. G.", "" ], [ "Iyer", "Bala R.", "" ], [ "Sathyaprakash", "B. S.", "" ], [ "Sinha", "Siddhartha", "" ], [ "Broeck", "Chris Van Den", "" ] ]
0707.3921
Ikuko Hamamoto
I. Hamamoto and S. Shimoura
Properties of 12Be and 11Be in terms of single-particle motion in deformed potential
17 pages, 1 figure
J.Phys.G34:2715-2726,2007
10.1088/0954-3899/34/12/015
null
nucl-th
null
Inspired by the recent measurement of the B(E2;$0_{2}^{+} \to 2_{1}^+$) and B(E0;$0_{2}^{+} \to 0_{1}^+$) values in $^{12}$Be, we give an interpretation of available spectroscopic data on both $^{12}$Be and $^{11}$Be, using a simple model which contains the essential feature of these two nuclei; the presence of weakly-bound neutron(s) in deformed potentials. The agreement of the calculated results with observed data is surprisingly good, including well-known strong E1 transitions in both nuclei.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:46:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Hamamoto", "I.", "" ], [ "Shimoura", "S.", "" ] ]
0707.3922
Loriano Bonora
L. Bonora, R. P. Malik
BRST, anti-BRST and gerbes
11 pages, typo corrected in eq.(3,8,24)
Phys.Lett.B655:75-79,2007
10.1016/j.physletb.2007.08.063
SISSA/49/2007/EP
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss BRST and anti--BRST transformations for an Abelian antisymmetric gauge field in 4D and find that, in order for them to anticommute, we have to impose a condition on the auxiliary fields. This condition is similar to the Curci-Ferrari condition for the 4D non--Abelian 1-form gauge theories and represents a consistency requirement. We interpret it as a signal that our Abelian 2-form gauge field theory is based on gerbes. To support this interpretation we discuss, in particular, the case of the 1-gerbe for our present field theory and write the relevant equations and symmetry transformations for 2-gerbes.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 13:55:33 GMT" }, { "version": "v2", "created": "Wed, 29 Aug 2007 12:18:07 GMT" }, { "version": "v3", "created": "Tue, 1 Apr 2008 17:38:36 GMT" }, { "version": "v4", "created": "Mon, 23 Feb 2009 18:06:14 GMT" } ]
2009-02-23T00:00:00
[ [ "Bonora", "L.", "" ], [ "Malik", "R. P.", "" ] ]
0707.3923
Stefano Bellucci
S. Bellucci and P. Onorato
Filtering of spin currents based on ballistic ring
9 pages, 7 figures, PACS numbers: 72.25.-b, 72.20.My, 73.50.Jt, accepted for publication in J. Phys. - Cond. Mat
null
10.1088/0953-8984/19/39/395020
null
cond-mat.mes-hall
null
Quantum interference effects in rings provide suitable means for controlling spin at mesoscopic scales. Here we apply such a control mechanism to the spin-dependent transport in a ballistic quasi one dimensional ring patterned in two dimensional electron gases (2DEGs). The study is essentially based on the {\it natural} spin-orbit (SO) interactions, one arising from the laterally confining electric field {($\beta$ term) and the other due to to the quantum-well potential that confines electrons in the 2DEG (conventional Rashba SO interaction or $\alpha$ term).} We focus on single-channel transport and solve analytically the spin polarization of the current. As an important consequence of the presence of spin splitting, we find the occurrence of spin dependent current oscillations. We analyze %the effects of disorder by discussing the transport in the presence of one non-magnetic obstacle in the ring. We demonstrate that a spin polarized current can be induced when an unpolarized charge current is injected in the ring, by focusing on the central role that the presence of the obstacle plays.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:05:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Bellucci", "S.", "" ], [ "Onorato", "P.", "" ] ]
0707.3924
Petr Seba
Petr Seba
Parking in the city
null
null
null
null
nlin.AO nlin.CG
null
We show that the spacing distribution between parked cars can be obtained as a solution of certain linear distributional fixed point equation. The results are compared with the data measured on the streets of Hradec Kralove. We also discuss a relation of this results to the random matrix theory.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:06:32 GMT" }, { "version": "v2", "created": "Thu, 15 Nov 2007 16:58:13 GMT" }, { "version": "v3", "created": "Thu, 22 Nov 2007 12:58:02 GMT" } ]
2007-11-22T00:00:00
[ [ "Seba", "Petr", "" ] ]
0707.3925
Andries Hekstra
Andries P. Hekstra
Use of a $d$-Constraint During LDPC Decoding in a Bliss Scheme
null
null
null
null
cs.IT math.IT
null
Bliss schemes of a run length limited (RLL) codec in combination with an LDPC codec, generate LDPC parity bits over a systematic sequence of RLL channel bits that are inherently redundant as they satisfy e.g. a $d=1$ minimum run length constraint. That is the subsequences consisting of runs of length $d=1$, viz. $...010...$ and $...101...$, cannot occur. We propose to use this redundancy during LDPC decoding in a Bliss scheme by introducing additional $d$-constraint nodes in the factor graph used by the LDPC decoder. The messages sent from these new nodes to the variable or codeword bit nodes exert a ``force'' on the resulting soft-bit vector coming out of the LDPC decoding that give it a tendency to comply with the $d$-constraints. This way, we can significantly reduce the probability of decoding error.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:08:07 GMT" } ]
2007-07-27T00:00:00
[ [ "Hekstra", "Andries P.", "" ] ]
0707.3926
Jennifer Schultens
Jennifer Schultens
Covering spaces and the Kakimizu complex
16 pages, 10 figures
Journal of Topology 3 (2010) 883--900
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In 1992, Osamu Kakimizu defined a complex that has become known as the Kakimizu complex of a knot. Vertices correspond to isotopy classes of minimal genus Seifert surfaces of the knot. Higher dimensional simplices correspond to collections of such classes of Seifert surfaces that admit disjoint representatives. We show that this complex is simply connected.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:10:50 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 13:55:24 GMT" }, { "version": "v3", "created": "Mon, 27 Aug 2007 19:12:25 GMT" }, { "version": "v4", "created": "Wed, 15 Jan 2014 10:34:41 GMT" } ]
2014-01-16T00:00:00
[ [ "Schultens", "Jennifer", "" ] ]
0707.3927
Tarun Kanti Ghosh
Tarun Kanti Ghosh
Dynamic structure factor of Fermi superfluid in the BEC-BCS crossover
To appear in Physical Review A
Physical Review A 76, 033602 (2007)
10.1103/PhysRevA.76.033602
null
cond-mat.other
null
We consider cigar shaped Fermi superfluid in the BEC-BCS crossover. Using polytropic form of equation of state, we derive low energy multibranch bosonic excitations and the corresponding density fluctuations in three different regimes along the crossover, namely weak-coupling BCS, unitarity and molecular BEC regimes. Bragg spectroscopy can be used to probe the multibranch nature of the low energy bosonic excitations by measuring dynamic structure factor. Therefore, we calculate dynamic structure factor in those three different regimes. In the Bragg spectroscopy, an actual observable is momentum imparted to the superfluid due to the Bragg potential. We also present results of the momentum imparted to the superfluid due to the Bragg pulses.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:12:26 GMT" } ]
2007-09-08T00:00:00
[ [ "Ghosh", "Tarun Kanti", "" ] ]
0707.3928
Jay Rosen
Michael Marcus and Jay Rosen
Asymptotic expansions for functions of the increments of certain Gaussian processes
null
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $G=\{G(x),x\ge 0\}$ be a mean zero Gaussian process with stationary increments and set $\sigma^2(|x-y|)= E(G(x)-G(y))^2$. Let $f$ be a function with $Ef^{2}(\eta)<\ff$, where $\eta=N(0,1)$. When $\sigma^2$ is regularly varying at zero and \[ \lim_{h\to 0}{h^2\over \sigma^2(h)}= 0\qquad {and}\qquad \lim_{h\to 0}{\sigma^2(h)\over h}= 0 \quad {but} \quad ({d^{2}\over ds^2}\sigma^2(s))^{j_0} \] is locally integrable for some integer $j_0\ge 1$, and satisfies some additional regularity conditions, \bea && \int_a^bf(\frac{G(x+h)-G(x)}{\sigma (h)}) dx \label{abst}\nn &&\qquad = \sum_{j=0}^{j_0} (h/\sigma(h))^{j} {E(H_{j}(\eta) f(\eta))\over\sqrt {j!}} :(G')^{j}:(I_{[a,b]}) +o({h\over\sigma (h)})^{j_0}\nn \eea in $L^2$. Here $H_j$ is the $j$-th Hermite polynomial. Also $:(G')^{j}:(I_{[a,b]})$ is a $j $-th order Wick power Gaussian chaos constructed from the Gaussian field $ G'(g) $, with covariance \[ E(G'(g)G'(\wt g)) = \int \int \rho (x-y)g(x)\wt g(y) dx dy\label{3.7bqs}, \] where $ \rho(s)={1/2}{d^{2}\over ds^2}\sigma^2(s)$.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:14:18 GMT" }, { "version": "v2", "created": "Thu, 15 Oct 2009 15:44:07 GMT" } ]
2009-10-15T00:00:00
[ [ "Marcus", "Michael", "" ], [ "Rosen", "Jay", "" ] ]
0707.3929
Susumu Koretune
Susumu Koretune
The sum rules for the spin dependent structure functions corresponding to the moment at $n=0$
12 pages, 2 figures, Contributed paper to Lepton-Photon 2007
null
null
null
hep-ph
null
Sum rules for the spin dependent structure functions corresponding to the moment at $n=0$ derived from the current algebra based on the canonical quantization on the null-plane are reviewed.
[ { "version": "v1", "created": "Thu, 26 Jul 2007 14:22:38 GMT" } ]
2007-07-27T00:00:00
[ [ "Koretune", "Susumu", "" ] ]