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Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

无序系统与神经网络 · 物理学 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

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

Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the…

无序系统与神经网络 · 物理学 2015-10-14 Philipp Hauke , Markus Heyl

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

无序系统与神经网络 · 物理学 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

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 the Hilbert space, support of the eigenstates. In this work, using exact…

无序系统与神经网络 · 物理学 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

无序系统与神经网络 · 物理学 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

Localization transitions as a function of temperature require a many-body mobility edge in energy, separating localized from ergodic states. We argue that this scenario is inconsistent because local fluctuations into the ergodic phase…

无序系统与神经网络 · 物理学 2016-01-26 Wojciech de Roeck , Francois Huveneers , Markus Müller , Mauro Schiulaz

We numerically study the dynamics on the ergodic side of the many-body localization transition in a periodically driven Floquet model with no global conservation laws. We describe and employ a numerical technique based on the fast…

无序系统与神经网络 · 物理学 2020-04-20 Talía L. M. Lezama , Soumya Bera , Jens H. Bardarson

Quasiperiodic systems in one dimension can host non-ergodic states, e.g. localized in position or momentum. Periodic quenches within localized phases yield Floquet eigenstates of the same nature, i.e. spatially localized or ballistic.…

无序系统与神经网络 · 物理学 2023-09-15 Miguel Gonçalves , Pedro Ribeiro , Ivan M. Khaymovich

A generic closed quantum many-body system will inevitably tend to thermalization, whose local information encoded in the initial state eventually scrambles into the full space, known as quantum ergodicity. A paradigmatic exception in closed…

无序系统与神经网络 · 物理学 2025-01-17 Xiang-Ping Jiang , Mingdi Xu , Xuanpu Yang , Hongsheng Hou , Yucheng Wang , Lei Pan

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

无序系统与神经网络 · 物理学 2015-05-20 Arijeet Pal , David A. Huse

We investigate the phase transition between an ergodic and a many-body localized phase in infinite anisotropic spin-$1/2$ Heisenberg chains with binary disorder. Starting from the N\'eel state, we analyze the decay of antiferromagnetic…

无序系统与神经网络 · 物理学 2017-01-30 T. Enss , F. Andraschko , J. Sirker

Isolated quantum systems with quenched randomness exhibit many-body localization (MBL), wherein they do not reach local thermal equilibrium even when highly excited above their ground states. It is widely believed that individual…

无序系统与神经网络 · 物理学 2016-10-11 A. Chandran , A. Pal , C. R. Laumann , A. Scardicchio

We investigate the fate of a many-body localized phase in a non-Hermitian quasiperiodic model of hardcore bosons subjected to periodic driving. While in general, the many-body localized system is known to thermalize with increasing driving…

无序系统与神经网络 · 物理学 2025-09-19 Sanchayan Banerjee , Ayan Banerjee , Tapan Mishra , Flore K. Kunst

Many-body localization provides a mechanism to avoid thermalization in isolated interacting quantum systems. The breakdown of thermalization may be complete, when all eigenstates in the many-body spectrum become localized, or partial, when…

无序系统与神经网络 · 物理学 2020-09-02 Pietro Brighi , Dmitry Abanin , Maksym Serbyn

Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars. Recently, ergodicity breaking has been observed in systems…

Many-body localised phases of disordered, interacting quantum systems allow for exotic localisation protected quantum order in eigenstates at arbitrarily high energy densities. In this work, we analyse the manifestation of such order on the…

无序系统与神经网络 · 物理学 2023-07-14 Sthitadhi Roy

We study the breaking of ergodicity measured in terms of return probability in the evolution of a quantum state of a spin chain. In the non ergodic phase a quantum state evolves in a much smaller fraction of the Hilbert space than would be…

强关联电子 · 物理学 2013-02-28 Andrea De Luca , Antonello Scardicchio

We generalize Page's result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long range interactions. This extension leads to two principal conclusions:…

无序系统与神经网络 · 物理学 2021-07-21 Felipe Monteiro , Masaki Tezuka , Alexander Altland , David A. Huse , Tobias Micklitz

We study dynamics of isolated quantum many-body systems under periodic driving. We consider a driving protocol in which the Hamiltonian is switched between two different operators periodically in time. The eigenvalue problem of the…

无序系统与神经网络 · 物理学 2015-01-05 Pedro Ponte , Anushya Chandran , Z. Papić , Dmitry A. Abanin