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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

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

In this paper, we theoretically investigate the many-body localization (MBL) properties of one-dimensional anisotropic spin-1/2 chains by using the exact matrix diagonalization method. Starting from the Ising spin-1/2 chain, we introduce…

无序系统与神经网络 · 物理学 2025-04-15 Taotao Hu , Yuting Li , Jiameng Hong , Xiaodan Li , Dongyan Guo , Kangning Chen

We re-examine attempts to study the many-body localization transition using measures that are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using simple scaling arguments and an analysis of various models…

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

Systems of strongly interacting dipoles offer an attractive platform to study many-body localized phases, owing to their long coherence times and strong interactions. We explore conditions under which such localized phases persist in the…

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

无序系统与神经网络 · 物理学 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

The nature of the many-body localization (MBL) transition and even the existence of the MBL phase in random many-body quantum systems have been actively debated in recent years. In spatial dimension $d>1$, there is some consensus that the…

无序系统与神经网络 · 物理学 2022-10-05 Utkarsh Agrawal , Romain Vasseur , Sarang Gopalakrishnan

In this paper we propose a new perspective to analyze the many-body localization (MBL) transition when recast in terms of a single-particle tight-binding model in the space of many-body configurations. We compute the distribution of…

统计力学 · 物理学 2020-08-05 Marco Tarzia

Many-body localisation in disordered systems in one spatial dimension is typically understood in terms of the existence of an extensive number of (quasi)-local integrals of motion (LIOMs) which are thought to decay exponentially with…

无序系统与神经网络 · 物理学 2024-02-02 C. Bertoni , J. Eisert , A. Kshetrimayum , A. Nietner , S. J. Thomson

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

Recently, it has been suggested that the Many-Body Localized phase can be characterized by local integrals of motion. Here we introduce a Hilbert space preserving renormalization scheme that iteratively finds such integrals of motion…

强关联电子 · 物理学 2016-01-13 Louk Rademaker , Miguel Ortuño

We compute and compare the decay lengths of several correlation functions and effective coupling constants in the many-body localized (MBL) phase. To this end, we consider the distribution of the logarithms of these couplings and…

强关联电子 · 物理学 2019-09-25 Vipin Kerala Varma , Abhishek Raj , Sarang Gopalakrishnan , Vadim Oganesyan , David Pekker

Many-body localization (MBL) is an example of a dynamical phase of matter that avoids thermalization. While the MBL phase is robust to weak local perturbations, the fate of an MBL system coupled to a thermalizing quantum system that…

无序系统与神经网络 · 物理学 2022-07-13 Pietro Brighi , Alexios A. Michailidis , Dmitry A. Abanin , Maksym Serbyn

We show that a simple artificial neural network trained on entanglement spectra of individual states of a many-body quantum system can be used to determine the transition between a many-body localized and a thermalizing regime.…

无序系统与神经网络 · 物理学 2017-07-04 Frank Schindler , Nicolas Regnault , Titus Neupert

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 present a large scale exact diagonalization study of the one dimensional spin $1/2$ Heisenberg model in a random magnetic field. In order to access properties at varying energy densities across the entire spectrum for system sizes up to…

无序系统与神经网络 · 物理学 2015-03-05 David J. Luitz , Nicolas Laflorencie , Fabien Alet

We investigate the phenomenon of spatial many-body localization (MBL) through pairwise correlation measures based on one and two-point correlation functions. The system considered is the Heisenberg spin-1/2 chain with exchange interaction…

无序系统与神经网络 · 物理学 2017-07-26 Jaime L. C. da C. Filho , Andreia Saguia , Lea F. Santos , Marcelo S. Sarandy

Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a random on-site potential is compared with…

无序系统与神经网络 · 物理学 2018-04-24 Piotr Sierant , Jakub Zakrzewski

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