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A canonical model for many-body localization (MBL) is studied, of interacting spinless fermions on a lattice with uncorrelated quenched site-disorder. The model maps onto a tight-binding model on a `Fock-space (FS) lattice' of many-body…

强关联电子 · 物理学 2019-01-23 David E. Logan , Staszek Welsh

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

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

We study spectral and wavefunction statistics for many-body localization transition in systems with long-range interactions decaying as $1/r^\alpha$ with an exponent $\alpha$ satisfying $ d \le \alpha \le 2d$, where $d$ is the spatial…

无序系统与神经网络 · 物理学 2018-06-26 K. S. Tikhonov , A. D. Mirlin

In this work we study the many-body localization (MBL) transition and relate it to the eigenstate structure in the Fock space. Besides the standard entanglement and multifractal probes, we introduce the radial probability distribution of…

无序系统与神经网络 · 物理学 2021-07-14 Giuseppe De Tomasi , Ivan M. Khaymovich , Frank Pollmann , Simone Warzel

We study many-body localization (MBL) in a nearest-neighbor hopping 1D lattice with a slowly varying (SV) on-site potential $U_j = \lambda\cos(\pi\alpha j^s)$ with $0<s<1$. The corresponding non-interacting 1D lattice model is known to have…

无序系统与神经网络 · 物理学 2025-07-14 Zi-Jian Li , Yi-Ting Tu , Sankar Das Sarma

The many-body localization transition is a dynamical quantum phase transition between a localized and an extended phase. We study this transition in the XXZ model with disordered magnetic field and focus on the time evolution following a…

无序系统与神经网络 · 物理学 2016-02-24 Rajeev Singh , Jens H. Bardarson , Frank Pollmann

Localization transitions as a function of temperature require a many-body mobility edge in energy, separating localized from ergodic states. We argue that this scenario is inconsistent because local fluctuations into the ergodic phase…

无序系统与神经网络 · 物理学 2016-01-26 Wojciech de Roeck , Francois Huveneers , Markus Müller , Mauro Schiulaz

Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this…

In this work, we investigate the localization properties of a paradigmatic model, coupled to a monitoring environment and possessing a many-body localized (MBL) phase. We focus on the post-selected no-click limit with quench random rates,…

无序系统与神经网络 · 物理学 2024-05-14 Giuseppe De Tomasi , Ivan M. Khaymovich

The transition between ergodic and many-body localized phases is expected to occur via an avalanche mechanism, in which \emph{ergodic bubbles} that arise due to local fluctuations in system properties thermalize their surroundings leading…

无序系统与神经网络 · 物理学 2021-11-10 Tomasz Szoldra , Piotr Sierant , Korbinian Kottmann , Maciej Lewenstein , Jakub Zakrzewski

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 show how the thermodynamic properties of large many-body localized systems can be studied using quantum Monte Carlo simulations. To this end we devise a heuristic way of constructing local integrals of motion of very high quality, which…

无序系统与神经网络 · 物理学 2016-09-21 Stephen Inglis , Lode Pollet

Stark Many-Body Localization (MBL) is a phenomenon observed in quantum systems in the absence of disorder, where the presence of a linear potential, known as the Stark field, causes the localization. Our study aims to provide novel insight…

无序系统与神经网络 · 物理学 2025-01-22 Chung Po Ching

Quasi-local integrals of motion are a key concept underpinning the modern understanding of many-body localisation, an intriguing phenomenon in which interactions and disorder come together. Despite the existence of several numerical ways to…

无序系统与神经网络 · 物理学 2024-01-09 B. Lu , C. Bertoni , S. J. Thomson , J. Eisert

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

无序系统与神经网络 · 物理学 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet

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

Within the standard model of many-body localization, i.e., the disordered chain of spinless fermions, we investigate how the interaction affects the many-body states in the basis of noninteracting localized Anderson states. From this…

强关联电子 · 物理学 2018-03-14 Peter Prelovšek , Osor S. Barišić , Marcin Mierzejewski

A novel method has been devised to compute the Local Integrals of Motion (LIOMs) for a one-dimensional many-body localized system. In this approach, a class of optimal unitary transformations is deduced in a tensor-network formalism to…

量子物理 · 物理学 2023-12-14 Z. Gholami , Z. Noorinejad , M. Amini , E. Ghanbari-Adivi

We propose a numerical method for explicitly constructing a complete set of local integrals of motion (LIOM) and definitely show the existence of LIOM for strongly many-body localized systems. The method combines exact diagonalization and…

无序系统与神经网络 · 物理学 2018-01-10 Rong-Qiang He , Zhong-Yi Lu