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相关论文: Scaling of many-body localization transitions: Qua…

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Models of many-body localization (MBL) can be represented as tight-binding models in the many-body Hilbert space (Fock space). We explore the role of correlations between matrix elements of the effective Fock-space Hamiltonians in the…

无序系统与神经网络 · 物理学 2024-06-12 Thibault Scoquart , Igor V. Gornyi , Alexander D. Mirlin

This article reviews recent progress in understanding the physics of many-body localisation (MBL) in disordered and interacting quantum many-body systems, from the perspective of ergodicity breaking on the associated Fock space. This…

无序系统与神经网络 · 物理学 2024-12-09 Sthitadhi Roy , David E. Logan

Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of…

We study classical percolation models in Fock space as proxies for the quantum many-body localisation (MBL) transition. Percolation rules are defined for two models of disordered quantum spin-chains using their microscopic quantum…

无序系统与神经网络 · 物理学 2019-04-03 Sthitadhi Roy , J. T. Chalker , David E. Logan

We examine the standard model of many-body localization (MBL), i.e., the disordered chain of interacting spinless fermions, by representing it as the network in the many-body (MB) basis of noninteracting localized Anderson states. By…

强关联电子 · 物理学 2021-02-04 P. Prelovšek , M. Mierzejewski , J. Krsnik , O. S. Barišić

We explore the Fock-space structure of eigenstates across the many-body localisation (MBL) transition in a disordered, interacting quantum spin-1/2 chain. Eigenstate expectation values of spatially local observables, which distinguish an…

无序系统与神经网络 · 物理学 2021-11-04 Sthitadhi Roy , David E. Logan

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

无序系统与神经网络 · 物理学 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

Many-body localization (MBL) is an emergent phase in correlated quantum systems with promis- ing applications, particularly in quantum information. Here, we unveil the existence and analyse this phase in a chiral multiferroic model system.…

无序系统与神经网络 · 物理学 2017-08-29 S. Stagraczyński , L. Chotorlishvili , M. Schüler , M. Mierzejewski , J. Berakdar

The many-body localization (MBL) transition is a quantum phase transition involving highly excited eigenstates of a disordered quantum many-body Hamiltonian, which evolve from "extended/ergodic" (exhibiting extensive entanglement entropies…

无序系统与神经网络 · 物理学 2018-04-20 Piero Naldesi , Elisa Ercolessi , Tommaso Roscilde

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 study the real-time dynamics of a translationally invariant quantum spin chain, based on the East kinetically constrained glass model, in search for evidence of many-body localisation in the absence of disorder. Numerical simulations…

统计力学 · 物理学 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

Characterizing the nature of many-body localization transitions (MBLTs) and their potential critical behaviors has remained a challenging problem. In this work, we study the dynamics of the displacement, quantifying the spread of the radial…

量子物理 · 物理学 2025-03-31 Zheng-Hang Sun , Yong-Yi Wang , Jian Cui , Heng Fan , Markus Heyl

In this work we study the many-body localization (MBL) transition and relate it to the eigenstate structure in the Fock space. Besides the standard entanglement and multifractal probes, we introduce the radial probability distribution of…

无序系统与神经网络 · 物理学 2021-07-14 Giuseppe De Tomasi , Ivan M. Khaymovich , Frank Pollmann , Simone Warzel

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 this work, we investigate the localization properties of a paradigmatic model, coupled to a monitoring environment and possessing a many-body localized (MBL) phase. We focus on the post-selected no-click limit with quench random rates,…

无序系统与神经网络 · 物理学 2024-05-14 Giuseppe De Tomasi , Ivan M. Khaymovich

Recent developments in matrix-product-state (MPS) investigations of many-body localization (MBL) are reviewed, with a discussion of benefits and limitations of the method. This approach allows one to explore the physics around the MBL…

无序系统与神经网络 · 物理学 2022-04-29 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin , Dmitry G. Polyakov

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

We study a quantum spin system with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we…

统计力学 · 物理学 2016-06-01 James M. Hickey , Sam Genway , Juan P. Garrahan

Recent studies on disorder-induced many-body localization (MBL) in non-Hermitian quantum systems have attracted great interest. However, the non-Hermitian disorder-free MBL still needs to be clarified. We consider a one-dimensional…

无序系统与神经网络 · 物理学 2023-11-27 Jinghu Liu , Zhihao Xu

We investigate the emergence of many-body dynamical localization (MBDL) in the Fock space of an interacting two-mode bosonic system subject to periodic driving. Using a mapping to the paradigmatic kicked-top model, we analyze the interplay…

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