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We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

无序系统与神经网络 · 物理学 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

Recently, the topics of many-body localization (MBL) and one-dimensional strongly interacting few-body systems have received a lot of interest. These two topics have been largely developed separately. However, the generality of the latter…

The many-body localization (MBL) proximity effect is an intriguing phenomenon where a thermal bath localizes due to the interaction with a disordered system. The interplay of thermal and non-ergodic behavior in these systems gives rise to a…

无序系统与神经网络 · 物理学 2023-08-16 Pietro Brighi , Marko Ljubotina , Dmitry A. Abanin , Maksym Serbyn

Recent work by De Roeck et al. [Phys. Rev. B 95, 155129 (2017)] has argued that many-body localization (MBL) is unstable in two and higher dimensions due to a thermalization avalanche triggered by rare regions of weak disorder. To examine…

无序系统与神经网络 · 物理学 2019-05-29 Ionut-Dragos Potirniche , Sumilan Banerjee , Ehud Altman

Many-body-localization (MBL) transitions are studied in a family of single-spin-flip spin-$\frac12$ models, including the one-dimensional (1D) chain with nearest-neighbor interactions, the quantum dot (QD) model with all-to-all pair…

无序系统与神经网络 · 物理学 2025-08-19 Thibault Scoquart , Igor V. Gornyi , Alexander D. Mirlin

We propose a spatio-temporal characterization of the entanglement dynamics in many-body localized (MBL) systems, which exhibits a striking resemblance with dynamical heterogeneity in classical glasses. Specifically, we find that the…

无序系统与神经网络 · 物理学 2022-05-17 Claudia Artiaco , Federico Balducci , Markus Heyl , Angelo Russomanno , Antonello Scardicchio

We introduce a method to efficiently study the dynamical properties of many-body localized systems in the regime of strong disorder and weak interactions. Our method reproduces qualitatively and quantitatively the real-time evolution with a…

无序系统与神经网络 · 物理学 2019-07-03 Giuseppe De Tomasi , Frank Pollmann , Markus Heyl

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

Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by…

强关联电子 · 物理学 2016-06-21 Emanuele Levi , Markus Heyl , Igor Lesanovsky , Juan P. Garrahan

Many-body localization (MBL) is currently a hot issue of interacting systems, in which quantum mechanics overcomes thermalization of statistical mechanics. Like Anderson localization of non-interacting electrons, disorders are usually…

强关联电子 · 物理学 2016-12-28 Rong-Qiang He , Zheng-Yu Weng

Characterizing the many-body localization (MBL) transition in strongly disordered and interacting quantum systems is an important issue in the field of condensed matter physics. We study the single particle Green's functions for a…

无序系统与神经网络 · 物理学 2021-10-29 Atanu Jana , V. Ravi Chandra , Arti Garg

We present an introductory review of nonergodic dynamics in interacting many-body quantum systems, focusing on the phenomenon of many-body localization (MBL). We describe aspects of MBL and summarize the evidence for a crossover from the…

量子物理 · 物理学 2026-04-15 Jakub Zakrzewski

Many-body localization (MBL) of a disordered interacting boson system in one dimension is studied numerically at the filling faction one-half. The von Neumann entanglement entropy SvN is commonly used to detect the MBL phase transition but…

无序系统与神经网络 · 物理学 2024-03-07 Jie Chen , Chun Chen , Xiaoqun Wang

The article reviews the physics of Anderson localization on random regular graphs (RRG) and its connections to many-body localization (MBL) in disordered interacting systems. Properties of eigenstate and energy level correlations in…

无序系统与神经网络 · 物理学 2021-10-15 K. S. Tikhonov , A. D. Mirlin

We study the fate of many-body localization (MBL) in the presence of long-range hopping ($\sim 1/r^{\sigma}$) in a system subjected to an electric field (static and time-periodic) along with a slowly-varying aperiodic potential. We show…

无序系统与神经网络 · 物理学 2020-09-01 Devendra Singh Bhakuni , Auditya Sharma

In a many-body localized (MBL) quantum system, the ergodic hypothesis breaks down completely, giving rise to a fundamentally new many-body phase. Whether and under which conditions MBL can occur in higher dimensions remains an outstanding…

We analyze many-body entanglement in interacting fermionic systems by using the $M$-body reduced density matrix. We demonstrate that if a particle number conserving fermionic Hamiltonian contains only up to $M$-body interaction terms, then…

量子物理 · 物理学 2026-04-06 Irakli Giorgadze , Grayson Welch , Haixuan Huang , Elio J. König , Jukka I. Väyrynen

We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in…

无序系统与神经网络 · 物理学 2015-04-16 Pedro Ponte , Z. Papić , François Huveneers , Dmitry A. Abanin

Many-body localization (MBL) appears to be a robust example of ergodicity breaking in many-body interacting systems. Here, we review different aspects of MBL, concentrating on various ways the disorder may be introduced into the system…

无序系统与神经网络 · 物理学 2026-01-15 Konrad Pawlik , Maksym Prodius , Pedro R. Nicácio Falcão , Jakub Zakrzewski

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…