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Many-body localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems such as their stability to thermal inclusions and the…

无序系统与神经网络 · 物理学 2018-02-27 Pedro Ponte , C. R. Laumann , David A. Huse , A. Chandran

Utilizing exact diagonalization (ED) techniques, we investigate a one-dimensional, non-reciprocal, interacting hard-core boson model under a Stark potential with tail curvature. By employing the non-zero imaginary eigenenergies ratio,…

量子气体 · 物理学 2023-10-20 Han-Ze Li , Xue-Jia Yu , Jian-Xin Zhong

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…

无序系统与神经网络 · 物理学 2023-07-25 Xiang-Ping Jiang , Rui Qi , Sheng Yang , Yayun Hu , Guangwen Yang

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

It is known that strong disorder in closed quantum systems leads to many-body localization (MBL), and that this quantum phase can be destroyed by coupling to an infinitely large Markovian environment. However, the stability of the MBL phase…

无序系统与神经网络 · 物理学 2023-07-07 Shao-Hen Chiew , Jiangbin Gong , Leong-Chuan Kwek , Chee-Kong Lee

We identify a new "order parameter" for the disorder driven many-body localization (MBL) transition by leveraging artificial intelligence. This allows us to pin down the transition, as the point at which the physics changes qualitatively,…

量子物理 · 物理学 2019-11-19 Patrick Huembeli , Alexandre Dauphin , Peter Wittek , Christian Gogolin

An interacting quantum system can transition from an ergodic to a many-body localized (MBL) phase under the presence of sufficiently large disorder. Both phases are radically different in their dynamical properties, which are characterized…

无序系统与神经网络 · 物理学 2020-05-29 Benjamin Villalonga , Bryan K. Clark

Many-body localization (MBL) transition emerges at strong disorder in interacting systems, separating chaotic and reversible dynamics. Although the existence of MBL transition within the macroscopic limit in spin chains with a short-range…

无序系统与神经网络 · 物理学 2026-02-06 Illia Lukin , Andrii Sotnikov , Alexander L. Burin

Due to a phenomenon of many-body localization (MBL), the strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems. A sufficiently deep quasiperiodic potential may also inhibit…

无序系统与神经网络 · 物理学 2025-01-14 Pedro R. Nicácio Falcão , Adith Sai Aramthottil , Piotr Sierant , Jakub Zakrzewski

We analyze the finite-size scaling of the average gap-ratio and the entanglement entropy across the many-body localization (MBL) transition in one dimensional Heisenberg spin-chain with quasi-periodic (QP) potential. By using the recently…

无序系统与神经网络 · 物理学 2021-12-10 Adith Sai Aramthottil , Titas Chanda , Piotr Sierant , Jakub Zakrzewski

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

Many-body localization provides a generic mechanism of ergodicity breaking in quantum systems. In contrast to conventional ergodic systems, many-body localized (MBL) systems are characterized by extensively many local integrals of motion…

无序系统与神经网络 · 物理学 2015-03-05 Anushya Chandran , Isaac H. Kim , Guifre Vidal , Dmitry A. Abanin

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

We study the operator growth problem and its complexity in the many-body localization (MBL) system from the Lanczos algorithm perspective. Using the Krylov basis, the operator growth problem can be viewed as a single-particle hopping…

无序系统与神经网络 · 物理学 2022-08-31 Fabian Ballar Trigueros , Cheng-Ju Lin

We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme…

无序系统与神经网络 · 物理学 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

We introduce the numerical linked cluster (NLC) expansion as a controlled numerical tool for the study of the many-body localization (MBL) transition in a disordered system with continuous non-perturbative disorder. Our approach works…

强关联电子 · 物理学 2015-10-29 Trithep Devakul , Rajiv R. P. Singh

We examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness and short-range interactions. Following recent works, we use a strong-randomness renormalization group (RG) approach…

统计力学 · 物理学 2020-09-22 Alan Morningstar , David A. Huse , John Z. Imbrie

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…

无序系统与神经网络 · 物理学 2019-03-01 J. Sirker

Phase transitions are driven by collective fluctuations of a system's constituents that emerge at a critical point. This mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behavior is…

We study quenched dynamics of fully-connected spin models. The system is prepared in a ground state of the initial Hamiltonian and the Hamiltonian is suddenly changed to a different form. We apply the Krylov subspace method to map the…

量子物理 · 物理学 2025-08-20 Kazutaka Takahashi