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 …

Lyapunov exponent, mobility edges, and critical region in the generalized Aubry-André model with an unbounded quasiperiodic potential

YC Zhang, YY Zhang - Physical Review B, 2022 - APS
In this work, we investigate the Anderson localization problems of the generalized Aubry-
André model (Ganeshan-Pixley-Das Sarma's model) with an unbounded quasiperiodic …

Observation of interaction-induced mobility edge in an atomic Aubry-André wire

Y Wang, JH Zhang, Y Li, J Wu, W Liu, F Mei, Y Hu… - Physical Review Letters, 2022 - APS
A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

Signatures of rare states and thermalization in a theory with confinement

NJ Robinson, AJA James, RM Konik - Physical Review B, 2019 - APS
There is a dichotomy in the nonequilibrium dynamics of quantum many-body systems. In the
presence of integrability, expectation values of local operators equilibrate to values …

Many-body localization with long-range interactions

RM Nandkishore, SL Sondhi - Physical Review X, 2017 - APS
Many-body localization (MBL) has emerged as a powerful paradigm for understanding
nonequilibrium quantum dynamics. Folklore based on perturbative arguments holds that …

Interactions and mobility edges: Observing the generalized aubry-andré model

FA An, K Padavić, EJ Meier, S Hegde, S Ganeshan… - Physical review …, 2021 - APS
Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally
realize a recently proposed family of nearest-neighbor tight-binding models having …

Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice

A Padhan, MK Giri, S Mondal, T Mishra - Physical Review B, 2022 - APS
Low-dimensional quasiperiodic systems exhibit localization transitions by turning all
quantum states localized after a critical quasidisorder. While certain systems with modified …

Complete delocalization and reentrant topological transition in a non-Hermitian quasiperiodic lattice

A Padhan, SR Padhi, T Mishra - Physical Review B, 2024 - APS
We predict a complete delocalization of the localized states following the localization
transition in a one-dimensional non-Hermitian Aubry-André model with a generalized …

Universal spectral form factor for many-body localization

A Prakash, JH Pixley, M Kulkarni - Physical Review Research, 2021 - APS
We theoretically study correlations present deep in the spectrum of many-body-localized
systems. An exact analytical expression for the spectral form factor of Poisson spectra can …

Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations

N Roy, J Sutradhar, S Banerjee - Physical Review B, 2023 - APS
We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic
extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic …