[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 …

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 …

Observation of many-body localization in a one-dimensional system with a single-particle mobility edge

T Kohlert, S Scherg, X Li, HP Lüschen, S Das Sarma… - Physical review …, 2019 - APS
We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-
dimensional quasiperiodic potential, which in the noninteracting limit exhibits an …

Multifractal scalings across the many-body localization transition

N Macé, F Alet, N Laflorencie - Physical review letters, 2019 - APS
In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …

Thouless and relaxation time scales in many-body quantum systems

M Schiulaz, EJ Torres-Herrera, LF Santos - Physical Review B, 2019 - APS
A major open question in studies of nonequilibrium quantum dynamics is the identification of
the time scales involved in the relaxation process of isolated quantum systems that have …

Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials

X Li, S Das Sarma - Physical Review B, 2020 - APS
We study theoretically the localization properties of two distinct one-dimensional
quasiperiodic lattice models with a single-particle mobility edge (SPME) separating …

Spread complexity evolution in quenched interacting quantum systems

M Gautam, K Pal, K Pal, A Gill, N Jaiswal, T Sarkar - Physical Review B, 2024 - APS
We analyze time evolution of spread complexity (SC) in an isolated interacting quantum
many-body system when it is subjected to a sudden quench. Characteristics features of the …

Many-body critical phase: extended and nonthermal

Y Wang, C Cheng, XJ Liu, D Yu - Physical Review Letters, 2021 - APS
The transition between ergodic and many-body localization (MBL) phases lies at the heart of
understanding quantum thermalization of many-body systems. Here, we predict a many …

Multifractality and its role in anomalous transport in the disordered XXZ spin-chain

DJ Luitz, IM Khaymovich, Y Bar Lev - SciPost Physics Core, 2020 - scipost.org
The disordered XXZ model is a prototype model of the many-body localization transition
(MBL). Despite numerous studies of this model, the available numerical evidence of …

Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance, and out-of-time-ordered correlator

EJ Torres-Herrera, AM García-García, LF Santos - Physical Review B, 2018 - APS
We study numerically and analytically the quench dynamics of isolated many-body quantum
systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain …