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We study the combined effect of quasiperiodic disorder, driven and interaction in the periodically kicked Aubry-Andr\'{e} model. In the non-interacting limit, by analyzing the quasienergy spectrum statistics, we verify the existence of a…

无序系统与神经网络 · 物理学 2022-08-26 Yu Zhang , Bozhen Zhou , Haiping Hu , Shu Chen

We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is characterized by a mobility edge. We…

Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the existence of such…

无序系统与神经网络 · 物理学 2022-11-30 Antonio Štrkalj , Elmer V. H. Doggen , Claudio Castelnovo

In general, isolated integrable quantum systems have been found to relax to an apparent equilibrium state in which the expectation values of few-body observables are described by the generalized Gibbs ensemble. However, recent work has…

量子气体 · 物理学 2013-07-03 Kai He , Lea F. Santos , Tod M. Wright , Marcos Rigol

We investigate the quantum dynamics of a one-dimensional quasiperiodic system featuring a single-particle mobility edge (SPME), described by the generalized Aubry-Andr\'e (GAA) model. This model offers a unique platform to study the…

量子物理 · 物理学 2026-02-20 Yuqi Qing , Yu-Qin Chen , Shi-Xin Zhang

We study quench dynamics in an interacting spin chain with a quasi-periodic on-site field, known as the interacting Aubry-Andr\'e model of many-body localization. Using the time-dependent variational principle, we assess the late-time…

无序系统与神经网络 · 物理学 2019-09-17 Elmer V. H. Doggen , Alexander D. Mirlin

We investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbour coupling, subject to an external quasiperiodic on-site magnetic field. The quasiperiodic modulation interpolates between two paradigmatic…

无序系统与神经网络 · 物理学 2021-09-22 Antonio Štrkalj , Elmer V. H. Doggen , Igor V. Gornyi , Oded Zilberberg

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…

Within the framework of the Aubry-Andre model, one kind of self-dual quasiperiodic lattice, it is known that a sharp transition occurs from \emph{all} eigenstates being extended to \emph{all} being localized. The common perception for this…

无序系统与神经网络 · 物理学 2013-12-04 Gang Wang , Nianbei Li , Tsuneyoshi Nakayama

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon…

无序系统与神经网络 · 物理学 2015-12-09 Ranjan Modak , Subroto Mukerjee

Statistical mechanics is founded on the assumption that a system can reach thermal equilibrium, regardless of the starting state. Interactions between particles facilitate thermalization, but, can interacting systems always equilibrate…

We study the many-body localization aspects of single-particle mobility edges in fermionic systems. We investigate incommensurate lattices and random disorder Anderson models. Many-body localization and quantum nonergodic properties are…

统计力学 · 物理学 2016-06-07 Xiaopeng Li , J. H. Pixley , Dong-Ling Deng , Sriram Ganeshan , S. Das Sarma

Here we study the phase diagram of the Aubry-Andre-Harper model in the presence of strong interactions as the strength of the quasiperiodic potential is varied. Previous work has established the existence of many-body localized phase at…

强关联电子 · 物理学 2023-03-10 Yongchan Yoo , Junhyun Lee , Brian Swingle

We study the localization transitions for coupled one-dimensional lattices with quasiperiodic potential. Besides the localized and extended phases there is an intermediate mixed phase which can be easily explained decoupling the system so…

无序系统与神经网络 · 物理学 2019-05-21 M. Rossignolo , L. Dell'Anna

We study the many-body localization (MBL) transition in a generalized Aubry-Andre model (also known as the GPD model) introduced in Phys. Rev. Lett. 114, 146601 (2015). In contrast to MBL in other disordered or quasiperiodic models, the…

无序系统与神经网络 · 物理学 2024-06-14 Ke Huang , DinhDuy Vu , Sankar Das Sarma , Xiao Li

We propose quasiperiodic chains with tunable mobility edge physics, as a promising platform for engineering long-range quantum entanglement. Using the generalized Aubry-Andr\'e model, we show that the mobility edges play a key role in…

强关联电子 · 物理学 2025-07-10 YouYoung Joung , Junmo Jeon , SungBin Lee

A generalization of the Aubry-Andr\'e model, the non-interacting GPD model introduced in S. Ganeshan et al.,[ Phys. Rev. Lett. 114, 146601 (2015)], is known analytically to possess a mobility edge, allowing both extended and localized…

无序系统与神经网络 · 物理学 2023-09-01 Yi-Ting Tu , DinhDuy Vu , Sankar Das Sarma

We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle…

统计力学 · 物理学 2017-02-01 Xiaopeng Li , Dong-Ling Deng , Yang-Le Wu , S. Das Sarma

Quantum dynamics on quasiperiodic geometries has recently gathered significant attention in ultra-cold atom experiments where non trivial localised phases have been observed. One such quasiperiodic model is the so called Fibonacci model. In…

无序系统与神经网络 · 物理学 2021-05-26 Cecilia Chiaracane , Francesca Pietracaprina , Archak Purkayastha , John Goold

We study the influence of many-particle interactions on a metal-insulator transition. We consider the two-interacting-particle problem for onsite interacting particles on a one-dimensional quasiperiodic chain, the so-called Aubry-Andr\'{e}…

无序系统与神经网络 · 物理学 2009-11-07 Andrzej Eilmes , Rudolf A. Roemer , Michael Schreiber
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