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 …
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 …
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 …
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …
Signatures of rare states and thermalization in a theory with confinement
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 …
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 …
nonequilibrium quantum dynamics. Folklore based on perturbative arguments holds that …
Interactions and mobility edges: Observing the generalized aubry-andré model
Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally
realize a recently proposed family of nearest-neighbor tight-binding models having …
realize a recently proposed family of nearest-neighbor tight-binding models having …
Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
Low-dimensional quasiperiodic systems exhibit localization transitions by turning all
quantum states localized after a critical quasidisorder. While certain systems with modified …
quantum states localized after a critical quasidisorder. While certain systems with modified …
Complete delocalization and reentrant topological transition in a non-Hermitian quasiperiodic lattice
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 …
transition in a one-dimensional non-Hermitian Aubry-André model with a generalized …
Universal spectral form factor for many-body localization
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 …
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
We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic
extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic …
extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic …