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One fundamental assumption in statistical physics is that generic closed quantum many-body systems thermalize under their own dynamics. Recently, the emergence of many-body localized systems has questioned this concept, challenging our…

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

无序系统与神经网络 · 物理学 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

An interacting quantum system that is subject to disorder may cease to thermalize due to localization of its constituents, thereby marking the breakdown of thermodynamics. The key to our understanding of this phenomenon lies in the system's…

We revisit the problem of quantum localization of many-body states in a quantum dot and the associated problem of relaxation of an excited state in a finite correlated electron system. We determine the localization threshold for the…

介观与纳米尺度物理 · 物理学 2016-03-18 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We conjecture that thermalization following a quantum quench in a strongly correlated quantum system is closely connected to many-body delocalization in the space of quasi-particles. This scenario is tested in the anisotropic Heisenberg…

统计力学 · 物理学 2011-04-04 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro , Alessandro Silva

We demonstrate that many-body localization of two-dimensional weakly interacting bosons in disorder remains stable in the thermodynamic limit at sufficiently low temperatures. Highly energetic particles destroy the localized state only…

无序系统与神经网络 · 物理学 2019-07-31 G. Bertoli , B. L. Altshuler , G. V. Shlyapnikov

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-localized phase, has emerged as a stable solution. We present a…

强关联电子 · 物理学 2018-05-22 Fabien Alet , Nicolas Laflorencie

Localization marks the breakdown of thermalization in subregions of quantum many-body systems in the presence of sufficiently large disorder. In this paper, we use numerical techniques to study thermalization and localization in a many-body…

统计力学 · 物理学 2023-03-07 Spasen Chaykov , Brenden Bowen , Nishant Agarwal

Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional…

无序系统与神经网络 · 物理学 2020-08-06 Hugo Théveniaut , Zhihao Lan , Gabriel Meyer , Fabien Alet

Closed generic quantum many-body systems may fail to thermalize under certain conditions even after long times, a phenomenon called many-body localization (MBL). Numerous studies support the stability of the MBL phase in strongly disordered…

Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically localized or delocalized dynamics based on numerical results…

统计力学 · 物理学 2022-06-28 Jonas Richter , Arijeet Pal

We investigate the relation between thermalization following a quantum quench and many-body localization in quasiparticle space in terms of the long-time full distribution function of physical observables. In particular, expanding on our…

统计力学 · 物理学 2012-09-26 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro , Alessandro Silva

Isolated quantum systems at strong disorder can display many-body localization (MBL), a remarkable phenomena characterized by an absence of conduction even at finite temperatures. As the ratio of interactions to disorder is increased, one…

无序系统与神经网络 · 物理学 2014-05-08 Tarun Grover

When pushed out of equilibrium, generic interacting quantum systems equilibrate locally and are expected to evolve towards a locally thermal description despite their unitary time evolution. Systems in which disorder competes with…

无序系统与神经网络 · 物理学 2019-05-29 Marcel Goihl , Jens Eisert , Christian Krumnow

Considering ultracold atoms in optical lattices, we propose experimental protocols to study many-body localization (MBL) length and criticality in quench dynamics. Through numerical simulations with exact diagonalization, we show that in…

强关联电子 · 物理学 2018-03-30 Xuefei Guo , Xiaopeng Li

We study the many-body localization transition in one-dimensional Hubbard chains using exact diagonalization and quantum chaos indicators. We also study dynamics in the delocalized (ergodic) and localized phases and discuss thermalization…

量子气体 · 物理学 2015-12-18 Rubem Mondaini , Marcos Rigol

Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in…

无序系统与神经网络 · 物理学 2019-05-29 Dmitry A. Abanin , Ehud Altman , Immanuel Bloch , Maksym Serbyn

We review recent developments in the study of out-of-equilibrium topological states of matter in isolated systems. The phenomenon of many-body localization, exhibited by some isolated systems usually in the presence of quenched disorder,…

无序系统与神经网络 · 物理学 2018-07-05 S. A. Parameswaran , Romain Vasseur

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

In the study of the thermalization of closed quantum systems, the role of kinetic constraints on the temporal dynamics and the eventual thermalization is attracting significant interest. Kinetic constraints typically lead to long-lived…

无序系统与神经网络 · 物理学 2024-03-29 Karl Royen , Suman Mondal , Frank Pollmann , Fabian Heidrich-Meisner
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