[HTML][HTML] Many-body localization: An introduction and selected topics
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 …
The ergodic side of the many‐body localization transition
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …
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
We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-
dimensional quasiperiodic potential, which in the noninteracting limit exhibits an …
dimensional quasiperiodic potential, which in the noninteracting limit exhibits an …
Multifractal scalings across the many-body localization transition
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 …
space, the many-body localization (MBL) problem is much less understood in Hilbert space …
Thouless and relaxation time scales in many-body quantum systems
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 …
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
We study theoretically the localization properties of two distinct one-dimensional
quasiperiodic lattice models with a single-particle mobility edge (SPME) separating …
quasiperiodic lattice models with a single-particle mobility edge (SPME) separating …
Spread complexity evolution in quenched interacting quantum systems
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 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 …
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
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 …
(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
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 …
systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain …