 the pure 2D case and agrees very well with the one found by the wavefunction approach in the two particle-hole subspace.
Article: Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit[Show abstract] [Hide abstract]
ABSTRACT: Motivated by recent experiments, we study the relaxation dynamics and thermalization in the one-dimensional Bose-Hubbard model induced by a global interaction quench. Specifically, we start from an initial state that has exactly one boson per site and is the ground state of a system with infinitely strong repulsive interactions at unit filling. Using exact diagonalization and the density matrix renormalization group method, we compute the time dependence of such observables as the multiple occupancy and the momentum distribution function. Typically, the relaxation to stationary values occurs over just a few tunneling times. The stationary values are identical to the so-called diagonal ensemble on the system sizes accessible to our numerical methods and we further observe that the micro-canonical ensemble describes the steady state of many observables reasonably well for small and intermediate interaction strength. The expectation values of observables in the canonical ensemble agree quantitatively with the time averages obtained from the quench at small interaction strengths, and qualitatively provide a good description of steady-state values even in parameter regimes where the micro-canonical ensemble is not applicable due to finite-size effects. We discuss our numerical results in the framework of the eigenstate thermalization hypothesis. Moreover, we also observe that the diagonal and the canonical ensemble are practically identical for our initial conditions already on the level of their respective energy distributions for small interaction strengths. Finally, we discuss implications of our results for the interpretation of a recent sudden expansion experiment [Phys. Rev. Lett. 110, 205301 (2013)], in which the same interaction quench was realized.
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ABSTRACT: The ground state of solid $^4$He in a cylindrical nanopore hosts a topological linear defect which can be viewed as a nematic-type Frank's disclination. The associated singular strain (or, rather, splay) may cause partial melting around the line to create a superfluid core of the disclination. The resulting phase, compactified supersolid (CSS), is studied by ab initio Monte Carlo simulations and by a simple model explaining its main feature -- a gradual decrease of the superfluid response with pressure observed in vycor. The CSS is found to transform into insulating compactified solid (CS) by a first order transition with very wide hysteresis.
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ABSTRACT: We analyze the ground-state properties of mixtures consisting of scalar bosons and spin-1/2--, d-, and p-wave pairs at fermionic half-filling. We compare our results with a recent dynamical mean-field study [P. Anders et al., Phys. Rev. Lett. 109, 206401 (2012), 10.1103/PhysRevLett.109.206401].
Article: Ground-state phase diagram of the two-dimensional Bose-Hubbard model with anisotropic hopping[Show abstract] [Hide abstract]
ABSTRACT: We compute the ground-state phase diagram of the two-dimensional (2D) Bose-Hubbard model with anisotropic hopping using quantum Monte Carlo simulations, connecting the one-dimensional (1D) to the 2D system. We find that the tip of the lobe lies on a curve controlled by the 1D limit over the full anisotropy range, while the universality class is always the same as in the isotropic 2D system. This behavior can be derived analytically from the lowest renormalization-group equations and has a shape typical for the underlying Kosterlitz-Thouless transition in one dimension. We also compute the phase boundary of the Mott lobe at unit density for strong anisotropy and compare it to the 1D system. Our calculations shed light on recent cold gas experiments monitoring the dynamics of an expanding cloud.
Article: Universal Conductivity in a Two-Dimensional Superfluid-to-Insulator Quantum Critical System[Show abstract] [Hide abstract]
ABSTRACT:_{Q} with σ_{Q}_{n})-σ.
Article: Asymptotically Exact Scenario of Strong-Disorder Criticality in One-Dimensional Superfluids[Show abstract] [Hide abstract]
ABSTRACT: We present a controlled rare-weak-link theory of the superfluid-to-Bose/Mott glass transition in one-dimensional disordered systems. The transition has Kosterlitz-Thouless critical properties but may occur at an arbitrary large value of the Luttinger parameter $K$. In contrast to the scenario by Altman {\it et al.} [Phys. Rev. B {\bf 81}, 174528 (2010)], the hydrodynamic description is valid under the correlation radius and defines criticality via the renormalization of microscopically weak links, along the lines of Kane and Fisher [Phys. Rev. Lett. {\bf 68}, 1220 (1992)]. The hallmark of the theory is the relation $K^{(c)}=1/\zeta$ between the critical value of the Luttinger parameter at macroscopic scales and the microscopic (irrenormalizable) exponent $\zeta$ describing the scaling $\propto 1/N^{1-\zeta}$ for the strength of the weakest link among the $N/L \gg 1$ disorder realizations in a system of fixed mesoscopic size $L$.
Dataset: Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators[Show abstract] [Hide abstract]
ABSTRACT: Quantum phases.
Top Journals
Institutions
2012-2015
Technische Universität MünchenMünchen, Bavaria, Germany
Ludwig-Maximilians-University of Munich
München, Bavaria, Germany
- Department of Physics
2013
Kurchatov InstituteMoskva, Moscow, Russia
2008-2013
University of Massachusetts Amherst
Amherst Center, Massachusetts, United States
- Department of Physics
2009-2011
Harvard University
Cambridge, Massachusetts, United States
- Department of Physics
Columbia University
New York, New York, United States
- Department of Physics
2005-2011
ETH ZurichZürich, Zurich, Switzerland
2003-2011
Ghent University
Gand, Flemish, Belgium
- Center for Molecular Modeling
2007
Hochschule für Technik ZürichZürich, Zurich, Switzerland
University of Nice-Sophia AntipolisNice, Provence-Alpes-Côte d'Azur, FranceDid Vanessa perform? where was she?
She wasn’t there no, I guess she was sick yes.
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Read the bio below and try to give details on frank loporto's:    - reach     - weight     - draws     - losses     - height     - ko     - style     - realname     - total       - birth date     - name     - nationality     - birth place     - wins     Bio: frank loporto -lrb- born 7 february 1978 -rrb- is an australian professional boxer and the current paba super welterweight champion.
Answer:
- reach is 70 in cm on- weight is light middleweight- draws is 2- losses is 5- height is 1.78- ko is 6- style is orthodox- realname is frank loporto- total is 20- birth date is 7 february 1978- name is frank loporto- nationality is australian- birth place is brunswick, victoria- wins is 14{