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[HTML][HTML] Many-body localization: An introduction and selected topics
F Alet, N Laflorencie - Comptes Rendus Physique, 2018 - Elsevier
What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …
Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …
body systems with regard to emergent notions of quantum statistical mechanics. We cover …
Avalanches and many-body resonances in many-body localized systems
A Morningstar, L Colmenarez, V Khemani, DJ Luitz… - Physical Review B, 2022 - APS
We numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …
Distinguishing localization from chaos: Challenges in finite-size systems
DA Abanin, JH Bardarson, G De Tomasi… - Annals of Physics, 2021 - Elsevier
We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
M Schreiber, SS Hodgman, P Bordia, HP Lüschen… - Science, 2015 - science.org
Many-body localization (MBL), the disorder-induced localization of interacting particles,
signals a breakdown of conventional thermodynamics because MBL systems do not …
signals a breakdown of conventional thermodynamics because MBL systems do not …
Recent progress in many‐body localization
This article is a brief introduction to the rapidly evolving field of many‐body localization.
Rather than giving an in‐depth review of the subject, our aspiration here is simply to …
Rather than giving an in‐depth review of the subject, our aspiration here is simply to …
Many-body localization in periodically driven systems
P Ponte, Z Papić, F Huveneers, DA Abanin - Physical review letters, 2015 - APS
We consider disordered many-body systems with periodic time-dependent Hamiltonians in
one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two …
one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two …
Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
B Buča - Physical Review X, 2023 - APS
Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …
algebraic theory of dynamics in locally interacting systems in any dimension is provided …
Measurement-induced phase transition: A case study in the nonintegrable model by density-matrix renormalization group calculations
Q Tang, W Zhu - Physical Review Research, 2020 - APS
We study the effect of local projective measurements on the quantum quench dynamics. As
a concrete example, a one-dimensional Bose-Hubbard model is simulated by the matrix …
a concrete example, a one-dimensional Bose-Hubbard model is simulated by the matrix …
[HTML][HTML] Out-of-time-order correlation for many-body localization
In this paper we first compute the out-of-time-order correlators (OTOC) for both a
phenomenological model and a random-field XXZ model in the many-body localized phase …
phenomenological model and a random-field XXZ model in the many-body localized phase …