[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 …

Quantum entanglement in condensed matter systems

N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Recent progress in many‐body localization

DA Abanin, Z Papić - Annalen der Physik, 2017 - Wiley Online Library
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 …

Classification of interacting topological floquet phases in one dimension

AC Potter, T Morimoto, A Vishwanath - Physical Review X, 2016 - APS
Periodic driving of a quantum system can enable new topological phases with no analog in
static systems. In this paper, we systematically classify one-dimensional topological and …

Colloquium: Many-body localization, thermalization, and entanglement

DA Abanin, E Altman, I Bloch, M Serbyn - Reviews of Modern Physics, 2019 - APS
Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

Two universality classes for the many-body localization transition

V Khemani, DN Sheng, DA Huse - Physical review letters, 2017 - APS
We provide a systematic comparison of the many-body localization (MBL) transition in spin
chains with nonrandom quasiperiodic versus random fields. We find evidence suggesting …

Mobility edges in one-dimensional bichromatic incommensurate potentials

X Li, X Li, S Das Sarma - Physical Review B, 2017 - APS
We theoretically study a one-dimensional (1D) mutually incommensurate bichromatic lattice
system, which has been implemented in ultracold atoms to study quantum localization. It has …

The ergodic side of the many‐body localization transition

DJ Luitz, YB Lev - Annalen der Physik, 2017 - Wiley Online Library
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

Nonequilibrium quantum dynamics and transport: from integrability to many-body localization

R Vasseur, JE Moore - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the non-equilibrium dynamics of many-body quantum systems after a quantum
quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We …

Dynamics and transport at the threshold of many-body localization

S Gopalakrishnan, SA Parameswaran - Physics Reports, 2020 - Elsevier
Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …