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We study the transition from a many-body localized phase to an ergodic phase in spin chain with correlated random magnetic fields. Using multiple statistical measures like gap statistics and extremal entanglement spectrum distributions, we…

无序系统与神经网络 · 物理学 2022-09-14 Abhisek Samanta , Ahana Chakraborty , Rajdeep Sensarma

In this paper, we theoretically investigate the many-body localization properties of one-dimensional Ising spin-1 chains by using the methods of exact matrix diagonalization. We compare it with the MBL properties of the Ising spin-1/2…

无序系统与神经网络 · 物理学 2024-05-06 Taotao Hu , Yining Zhang , Hang Ren , Yiwen Gao , Xiaodan Li , Jiameng Hong , Yuting Li

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 localization (MBL) has been proposed to enable and protect topological order in all eigenstates, vastly expanding the traditional ground-state setting. However, for the most intriguing case of two-dimensional (2D) systems with…

无序系统与神经网络 · 物理学 2024-11-15 Florian Venn , Thorsten B. Wahl , Benjamin Béri

In the present study, the interplay among interaction, topology, quasiperiodicity, and non-Hermiticity is studied. The hard-core bosons model on a one-dimensional lattice with asymmetry hoppings and quasiperiodic onsite potentials is…

无序系统与神经网络 · 物理学 2020-08-17 Liang-Jun Zhai , Shuai Yin , Guang-Yao Huang

Many-body localized (MBL) systems are often described using their local integrals of motion, which, for spin systems, are commonly assumed to be a local unitary transform of the set of on-site spin-z operators. We show that this assumption…

无序系统与神经网络 · 物理学 2020-07-27 Thorsten B. Wahl , Benjamin Béri

We study a model of interacting fermions in one dimension subject to random, uncorrelated onsite disorder. The model realizes an interaction-driven quantum phase transition between an ergodic and a many-body localized phase (MBL). We…

无序系统与神经网络 · 物理学 2017-07-19 Soumya Bera , Thomas Martynec , Henning Schomerus , Fabian Heidrich-Meisner , Jens H. Bardarson

Strongly disordered systems in the many-body localized (MBL) phase can exhibit ground state order in highly excited eigenstates. The interplay between localization, symmetry, and topology has led to the characterization of a broad landscape…

无序系统与神经网络 · 物理学 2021-03-17 Rahul Sahay , Francisco Machado , Bingtian Ye , Chris R. Laumann , Norman Y. Yao

We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$…

无序系统与神经网络 · 物理学 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

Recently it has been suggested that many-body localization (MBL) can occur in translation-invariant systems, and candidate 1D models have been proposed. We find that such models, in contrast to MBL systems with quenched disorder, typically…

统计力学 · 物理学 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin

Investigating many-body localization (MBL) using exact numerical methods is limited by the exponentialgrowth of the Hilbert space. However, localized eigenstates display multifractality and only extend over a vanishing fraction of the…

无序系统与神经网络 · 物理学 2022-01-13 Francesca Pietracaprina , Nicolas Laflorencie

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

Recent work has focused on exploring many-body localization (MBL) in systems without quenched disorder: one such proposal is Stark MBL in which small perturbations to a strong linear potential yield localization. However, as with…

无序系统与神经网络 · 物理学 2020-10-12 Scott Richard Taylor , Maximilian Schulz , Frank Pollmann , Roderich Moessner

The disordered XXZ model is a prototype model of the many-body localization transition (MBL). Despite numerous studies of this model, the available numerical evidence of multifractality of its eigenstates is not very conclusive due severe…

无序系统与神经网络 · 物理学 2020-05-22 David J. Luitz , Ivan M. Khaymovich , Yevgeny Bar Lev

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 develop a mean-field theory of the metallic phase near the many-body localization (MBL) transition, using the observation that a system near the MBL transition should become an increasingly slow heat bath for its constituent parts. As a…

无序系统与神经网络 · 物理学 2014-12-31 Sarang Gopalakrishnan , Rahul Nandkishore

We study a quasiperiodic model in one dimension, namely the extended Aubry-Andr\'e-Harper (EAAH) chain, that realizes a critical phase comprising entirely single-particle critical states in the non-interacting limit. In the presence of…

无序系统与神经网络 · 物理学 2025-10-13 Nilanjan Roy , Subroto Mukerjee , Sumilan Banerjee

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

The many-body localized (MBL) phase is characterized by a complete set of quasi-local integrals of motion and area-law entanglement of excited eigenstates. We study the effect of non-Abelian continuous symmetries on MBL, considering the…

无序系统与神经网络 · 物理学 2017-07-26 Ivan V. Protopopov , Wen Wei Ho , Dmitry A. Abanin

Despite considerable efforts over the last decade, the high-energy phase diagram of the random-field Heisenberg chain still eludes our understanding, in particular the nature of the non-ergodic many-body localized (MBL) regime expected at…

无序系统与神经网络 · 物理学 2025-12-19 Nicolas Laflorencie , Jeanne Colbois , Fabien Alet