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We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a…

数学物理 · 物理学 2025-01-08 Alexander Elgart , Abel Klein

The many-body localised (MBL) to thermal crossover observed in exact diagonalisation studies remains poorly understood as the accessible system sizes are too small to be in an asymptotic scaling regime. We develop a model of the crossover…

无序系统与神经网络 · 物理学 2022-07-13 Philip J. D. Crowley , Anushya Chandran

A many-body localized (MBL) state is a new state of matter emerging in a disordered interacting system at high energy densities through a disorder driven dynamic phase transition. The nature of the phase transition and the evolution of the…

强关联电子 · 物理学 2016-07-20 S. P. Lim , D. N. Sheng

We experimentally study the effects of coupling one-dimensional Many-Body Localized (MBL) systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we artifically prepare an initial charge density wave in an…

The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate…

强关联电子 · 物理学 2019-08-13 Wei Zhang , Ziqiang Wang

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

无序系统与神经网络 · 物理学 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

Disorder and interactions can lead to the breakdown of statistical mechanics in certain quantum systems, a phenomenon known as many-body localization (MBL). Much of the phenomenology of MBL emerges from the existence of $\ell$-bits, a set…

无序系统与神经网络 · 物理学 2021-05-19 Eli Chertkov , Benjamin Villalonga , Bryan K. Clark

In this work we demonstrate that non-random mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder. In particular, we consider interacting spins and fermions in the…

无序系统与神经网络 · 物理学 2019-04-26 Evert P. L. van Nieuwenburg , Yuval Baum , Gil Refael

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body localization transition. We use the time-dependent variational…

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…

无序系统与神经网络 · 物理学 2021-05-25 Sarang Gopalakrishnan , S. A. Parameswaran

In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact…

无序系统与神经网络 · 物理学 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

This paper introduces Gaussian disorder, characterized by two parameters:the expected value and the standard deviation.Studying this type of disorder enhances our understanding of how many-body localization (MBL) transition is influenced by…

无序系统与神经网络 · 物理学 2024-11-19 Dongyan Guo , Taotao Hu , Jiameng Hong

We study the many-body localization (MBL) transition in an 1D exactly solvable system with long-range hopping and quasiperiodic on-site potential introduced in Phys. Rev. Lett. 131, 186303 (2023). Unlike other disorder or quasiperiodic…

无序系统与神经网络 · 物理学 2025-01-09 Haowei Fan , Ke Huang , Xiao Li

We consider a one dimensional spin $1/2$ chain with Heisenberg interaction in a disordered parallel magnetic field. This system is known to exhibit the many body localization (MBL) transition at critical strength of disorder. We analyze the…

无序系统与神经网络 · 物理学 2017-03-01 Canran Xu , Maxim G. Vavilov

Many-body localization (MBL) addresses the absence of thermalization in interacting quantum systems, with non-ergodic high-energy eigenstates behaving as ground states, only area-law entangled. However, computing highly excited many-body…

无序系统与神经网络 · 物理学 2019-01-23 Maxime Dupont , Nicolas Laflorencie

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

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

This comment is dedicated to the investigation of many-body localization in a quantum Ising model with long-range power law interactions, $r^{-\alpha}$, relevant for a variety of systems ranging from electrons in Anderson insulators to spin…

无序系统与神经网络 · 物理学 2017-12-06 Andrii O. Maksymov , Noah Rahman , Eliot Kapit , Alexander L. Burin

Isolated quantum systems at strong disorder can display many-body localization (MBL), a remarkable phenomena characterized by an absence of conduction even at finite temperatures. As the ratio of interactions to disorder is increased, one…

无序系统与神经网络 · 物理学 2014-05-08 Tarun Grover

Many-body localization (MBL) is a result of the balance between interference-based Anderson localization and many-body interactions in an ultra-high dimensional Fock space. It is usually expected that dissipation is blurring interference…

无序系统与神经网络 · 物理学 2018-07-25 I. Vakulchyk , I. Yusipov , M. Ivanchenko , S. Flach , S. Denisov