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We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

无序系统与神经网络 · 物理学 2024-04-30 Chong Sun

The exploration of large-scale many-body phenomena in quantum materials has produced many important experimental discoveries, including novel states of entanglement, topology and quantum order as found for example in quantum spin ices,…

量子气体 · 物理学 2019-05-01 John Sous , Edward Grant

An exact method to compute the entire equilibrium reduced density matrix for systems characterized by a system-bath Hamiltonian is presented. The approach is based upon a stochastic unraveling of the influence functional that appears in the…

介观与纳米尺度物理 · 物理学 2015-06-04 Jeremy M. Moix , Yang Zhao , Jianshu Cao

Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a…

无序系统与神经网络 · 物理学 2021-01-14 Louk Rademaker , Dmitry A. Abanin

Inspired by the avalanche scenario for many-body localization (MBL) instability, we reverse the conventional set-up and ask whether a large weakly-disordered chain can thermalize a smaller, strongly-disordered chain when the composite…

统计力学 · 物理学 2026-01-21 Soumya Kanti Pal , C L Sriram , Shamik Gupta

Recent numerical works have revealed the instability of many-body localized (MBL) phase in disordered quantum many-body systems with finite system sizes and over finite timescales. This instability arises from Griffith regions that occur at…

无序系统与神经网络 · 物理学 2025-01-13 Lv Zhang , Kai Xu , Heng Fan

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

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…

Strong disorder often has drastic consequences for quantum dynamics. This is best illustrated by the phenomenon of Anderson localization in non-interacting systems, where destructive quantum wave interference leads to the complete absence…

无序系统与神经网络 · 物理学 2025-10-15 Ben T. McDonough , Marius Lemm , Andrew Lucas

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

无序系统与神经网络 · 物理学 2019-10-09 Sthitadhi Roy , David E. Logan

We probe the existence of a many-body localized phase (MBL-phase) in a spinless fermionic Hubbard chain with algebraically localized single-particle states, by investigating both static and dynamical properties of the system. This MBL-phase…

无序系统与神经网络 · 物理学 2019-02-11 Giuseppe De Tomasi

Closed, interacting, quantum systems have the potential to transition to a many-body localized (MBL) phase under the presence of sufficiently strong disorder, hence breaking ergodicity and failing to thermalize. In this work we study the…

无序系统与神经网络 · 物理学 2020-07-15 Benjamin Villalonga , Bryan K. Clark

Insertion of disorder in thermal interacting quantum systems decreases the amount of level repulsion and can turn them into many body localized phases. In this paper we use the many body picture to perturbatively study the effect of level…

强关联电子 · 物理学 2018-02-06 Jonas A. Kjäll

We numerically explore the many body localization (MBL) transition through the lens of the {\it entanglement spectrum}. While a direct transition from localization to thermalization is believed to obtain in the thermodynamic limit (the…

无序系统与神经网络 · 物理学 2017-11-17 Scott D. Geraedts , Nicolas Regnault , Rahul M. Nandkishore

We investigate how the observable relaxation behavior of an isolated quantum many-body system is modified in response to weak-to-moderate perturbations within a nonperturbative typicality framework. A key role is played by the so-called…

统计力学 · 物理学 2020-08-11 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

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 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…

无序系统与神经网络 · 物理学 2017-03-29 Alexander Altland , Tobias Micklitz

We study systems which are close to or within the many-body localized (MBL) regime and are driven by strong electric field. In the ergodic regime, the disorder extends applicability of the equilibrium linear--response theory to stronger…

强关联电子 · 物理学 2016-07-06 Maciej Kozarzewski , Peter Prelovsek , Marcin Mierzejewski

Understanding under which conditions physical systems thermalize is a long-standing question in many-body physics. While generic quantum systems thermalize, there are known instances where thermalization is hindered, for example in…

量子物理 · 物理学 2021-01-08 Carlo Sparaciari , Marcel Goihl , Paul Boes , Jens Eisert , Nelly Huei Ying Ng

In this paper, we theoretically investigate the many-body localization properties of one-dimensional Ising spin-1 chains by using the methods of exact matrix diagonalization. We compare it with the MBL properties of the Ising spin-1/2…

无序系统与神经网络 · 物理学 2024-05-06 Taotao Hu , Yining Zhang , Hang Ren , Yiwen Gao , Xiaodan Li , Jiameng Hong , Yuting Li