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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…

Disordered Systems and Neural Networks · Physics 2019-05-29 Dmitry A. Abanin , Ehud Altman , Immanuel Bloch , Maksym Serbyn

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…

Quantum many-body systems with sufficiently strong disorder can exhibit a non-equilibrium phenomenon, known as the many-body localization (MBL), which is distinct from conventional thermalization. While the MBL regime has been extensively…

Nonequilibrium dynamics in isolated quantum many-body systems displays a number of intriguing features, such as many-body localization (MBL) and prethermalization. Here we investigate a simple ladder system with disorder, in which various…

Quantum Physics · Physics 2020-09-23 Yang Zhao , Rajesh Narayanan , Jaeyoon Cho

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…

Strongly Correlated Electrons · Physics 2018-03-30 Xuefei Guo , Xiaopeng Li

We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's…

Disordered Systems and Neural Networks · Physics 2015-12-25 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

The phenomenon of many-body localised (MBL) systems has attracted significant interest in recent years, for its intriguing implications from a perspective of both condensed-matter and statistical physics: they are insulators even at…

Quantum Gases · Physics 2019-07-08 M. Goihl , M. Friesdorf , A. H. Werner , W. Brown , J. Eisert

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…

Quantum Physics · Physics 2026-04-15 Jakub Zakrzewski

The nature of the many-body localization (MBL) transition and even the existence of the MBL phase in random many-body quantum systems have been actively debated in recent years. In spatial dimension $d>1$, there is some consensus that the…

Disordered Systems and Neural Networks · Physics 2022-10-05 Utkarsh Agrawal , Romain Vasseur , Sarang Gopalakrishnan

Many-body localized (MBL) systems are characterized by the absence of transport and thermalization, and therefore cannot be described by conventional statistical mechanics. In this paper, using analytic arguments and numerical simulations,…

Disordered Systems and Neural Networks · Physics 2014-11-11 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

Recently it has been suggested that many-body localization (MBL) can occur in translation-invariant systems, and candidate 1D models have been proposed. We find that such models, in contrast to MBL systems with quenched disorder, typically…

Statistical Mechanics · Physics 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin

We consider a quench in an infinite spin ladder describing a system with two species of bosons in the limit of strong interactions. If the heavy bosonic species has infinite mass the model becomes a spin chain with quenched binary disorder…

Disordered Systems and Neural Networks · Physics 2019-03-01 J. Sirker

We study localization and many-body localization transition in one dimensional systems in the presence of deterministic quasi-periodic potential. We use single-particle excitations obtained through single-particle Green's function in real…

Disordered Systems and Neural Networks · Physics 2024-03-15 Yogeshwar Prasad , Arti Garg

Many body localization (MBL) has emerged as a powerful paradigm for understanding non-equilibrium quantum dynamics. Folklore based on perturbative arguments holds that MBL only arises in systems with short range interactions. Here we…

Strongly Correlated Electrons · Physics 2017-10-27 Rahul M. Nandkishore , S. L. Sondhi

Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by a phase transition at which equilibrium…

Disordered Systems and Neural Networks · Physics 2021-05-25 Sarang Gopalakrishnan , S. A. Parameswaran

In one-dimensional (1D) disorder-free interacting systems, a sufficiently strong linear potential can induce localization of the many-body eigenstates, a phenomenon dubbed as Stark many-body localization (MBL). In this paper, we investigate…

Disordered Systems and Neural Networks · Physics 2023-07-25 Xiang-Ping Jiang , Rui Qi , Sheng Yang , Yayun Hu , Guangwen Yang

Many-body localization (MBL) hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this work, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain, finding the multimodal distribution…

Disordered Systems and Neural Networks · Physics 2025-02-12 Adith Sai Aramthottil , Piotr Sierant , Maciej Lewenstein , Jakub Zakrzewski

Many aspects of many-body localization (MBL), including dynamic classification of MBL phases, remain elusive. Here, by performing real-space renormalization group (RSRG) analysis we propose that there are two distinct types of MBL phases:…

Disordered Systems and Neural Networks · Physics 2019-06-05 Shi-Xin Zhang , Hong Yao

Many-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional…

Disordered Systems and Neural Networks · Physics 2020-08-14 Guo-Qing Zhang , Dan-Wei Zhang , Zhi Li , Z. D. Wang , Shi-Liang Zhu

We construct an analytic theory of many-body localization (MBL) in random spin chains. The approach is based on a first quantized perspective in which MBL is understood as a localization phenomenon on the high dimensional lattice defined by…

Disordered Systems and Neural Networks · Physics 2017-03-29 Alexander Altland , Tobias Micklitz