@article{Biroli2021,
 abstract = {In this paper we study the out-of-equilibrium phase diagram of the quantum version of Derrida's random energy model, which is the simplest model of mean-field spin glasses. We interpret its corresponding quantum dynamics in Fock space as a one-particle problem in very high dimension to which we apply different theoretical methods tailored for high-dimensional lattices: the forward-scattering approximation, a mapping to the Rosenzweig-Porter model, and the cavity method. Our results indicate the existence of two transition lines and three distinct dynamical phases: a completely many-body localized phase at low energy, a fully ergodic phase at high energy, and a multifractal "bad metal"phase at intermediate energy. In the latter, eigenfunctions occupy a diverging volume yet an exponentially vanishing fraction of the total Hilbert space. We discuss the limitations of our approximations and the relationship with previous studies.},
 author = {<NAME> and <NAME> and <NAME> and <NAME> and <NAME>},
 day = {29},
 doi = {10.1103/PhysRevB.103.014204},
 issn = {1098-0121},
 journal = {Physical Review B (Condensed Matter and Materials Physics)},
 language = {English},
 month = {January},
 note = {Funding Information: We warmly thank <NAME> for helpful discussions. This work was partially supported by the Simons Foundation through Grant No. 454935 (G.B.). D.F. was partially supported by the EPSRC (CANES, Grant No. EP/L015854/1) and the European Research Council under the European Union's Horizon 2020 research and innovation program (Grant Agreement No. 723955, GlassUniversality). Publisher Copyright: © 2021 American Physical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.},
 number = {1},
 publisher = {American Physical Society},
 title = {Out-of-equilibrium phase diagram of the quantum random energy model},
 volume = {103},
 year = {2021}
}

