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We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the `Eigenstate Thermalization Hypothesis' (ETH), and the…

统计力学 · 物理学 2015-04-07 Rahul Nandkishore , David A. Huse

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…

We propose a scaling theory for the many-body localization (MBL) phase transition in one dimension, building on the idea that it proceeds via a 'quantum avalanche'. We argue that the critical properties can be captured at a coarse-grained…

无序系统与神经网络 · 物理学 2019-03-27 Philipp T. Dumitrescu , Anna Goremykina , Siddharth A. Parameswaran , Maksym Serbyn , Romain Vasseur

Stark many-body localized (SMBL) systems have been shown both numerically and experimentally to have Bloch many-body oscillations, quantum many-body scars, and fragmentation in the large field tilt limit. Likewise, they are believed to show…

无序系统与神经网络 · 物理学 2022-01-20 Thivan Gunawardana , Berislav Buča

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

When a system thermalizes it loses all local memory of its initial conditions. This is a general feature of open systems and is well described by equilibrium statistical mechanics. Even within a closed (or reversible) quantum system, where…

We numerically explore $\mathbb Z_2$-symmetric random interacting Ising-Majorana chains at high energy. A very rich phase diagram emerges with two topologically distinct many-body localization (MBL) regimes separated by a much broader…

无序系统与神经网络 · 物理学 2022-08-05 Nicolas Laflorencie , Gabriel Lemarié , Nicolas Macé

In thermal phases, the quantum coherence of individual degrees of freedom is rapidly lost to the environment. Many-body localized (MBL) phases limit the spread of this coherence and appear promising for quantum information applications.…

量子物理 · 物理学 2015-08-31 Norman Y. Yao , Chris R. Laumann , Ashvin Vishwanath

Thermal and many-body localized phases are separated by a dynamical phase transition of a new kind. We analyze the distribution of off-diagonal matrix elements of local operators across the many-body localization transition (MBLT) in a…

无序系统与神经网络 · 物理学 2017-09-13 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

无序系统与神经网络 · 物理学 2015-05-20 Arijeet Pal , David A. Huse

Many-body-localized (MBL) systems do not thermalize under their intrinsic dynamics. The athermality of MBL, we propose, can be harnessed for thermodynamic tasks. We illustrate this ability by formulating an Otto engine cycle for a quantum…

Strong disorder inhibits thermalization in isolated quantum systems and may lead to many-body localization (MBL). In realistic situations, however, the observation of MBL is hindered by residual couplings of the system to an environment,…

统计力学 · 物理学 2024-04-01 Jonas Richter

We introduce a multi-scale diagonalization scheme to study the transition between the many-body localized and the ergodic phase in disordered quantum chains. The scheme assumes a sharp dichotomy between subsystems that behave as localized…

统计力学 · 物理学 2017-11-28 Thimothée Thiery , Markus Müller , Wojciech De Roeck

The law of statistical physics dictates that generic closed quantum many-body systems initialized in nonequilibrium will thermalize under their own dynamics. However, the emergence of many-body localization (MBL) owing to the interplay…

Ergodic quantum many-body systems satisfy the eigenstate thermalization hypothesis (ETH). However, strong disorder can destroy ergodicity through many-body localization (MBL) -- at least in one dimensional systems -- leading to a clear…

无序系统与神经网络 · 物理学 2020-08-18 Luis Colmenarez , Paul A. McClarty , Masudul Haque , David J. Luitz

We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal…

统计力学 · 物理学 2020-10-20 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all states and thus effectively working at infinite…

无序系统与神经网络 · 物理学 2015-03-13 Arijeet Pal , David A. Huse

The absence of thermalization in certain isolated many-body systems is of great fundamental interest. Many-body localization (MBL) is a widely studied mechanism for thermalization to fail in strongly disordered quantum systems, but it is…

无序系统与神经网络 · 物理学 2023-11-07 L. J. Stanley , Ping V. Lin , J. Jaroszyński , Dragana Popović

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

We introduce techniques for analysing the structure of quantum states of many-body localized (MBL) spin chains by identifying correlation clusters from pairwise correlations. These techniques proceed by interpreting pairwise correlations in…

无序系统与神经网络 · 物理学 2022-02-16 Kévin Hémery , Frank Pollmann , Adam Smith