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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

We investigate many-body localization in the chain of interacting spins with a transverse power-law interaction, $J_{0}/r^{\alpha}$, and random on-site potentials, $\phi_i \in \left(-W/2,W/2\right)$, in the long-range limit, $\alpha< 3/2$,…

无序系统与神经网络 · 物理学 2020-01-15 Andrii O. Maksymov , Alexander L. Burin

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…

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

We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum…

统计力学 · 物理学 2020-07-02 Ángel L. Corps , Rafael A. Molina , Armando Relaño

To understand the finite-size-scaling properties of phases transitions in classical and quantum models in the presence of quenched disorder, it has proven to be fruitful to introduce the notion of a finite-size-pseudo-critical point in each…

无序系统与神经网络 · 物理学 2017-01-03 Cecile Monthus

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

强关联电子 · 物理学 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

We analyze the finite-size scaling of the average gap-ratio and the entanglement entropy across the many-body localization (MBL) transition in one dimensional Heisenberg spin-chain with quasi-periodic (QP) potential. By using the recently…

无序系统与神经网络 · 物理学 2021-12-10 Adith Sai Aramthottil , Titas Chanda , Piotr Sierant , Jakub Zakrzewski

We present a finite-size scaling for both interaction and disorder strengths in the critical regime of the many-body localization (MBL) transition for a spin-1/2 XXZ spin chain with a random field by studying level statistics. We show how…

无序系统与神经网络 · 物理学 2018-06-13 Kazue Kudo , Tetsuo Deguchi

We study a one-dimensional (1d) XXZ spin-chain in a random field on the metallic side of the many-body localization transition by level statistics. For a fixed interaction, and intermediate disorder below the many-body localization…

无序系统与神经网络 · 物理学 2016-11-28 Corentin L. Bertrand , Antonio M. García-García

The space of one-dimensional disordered interacting quantum models displaying a Many-Body-Localization Transition seems sufficiently rich to produce critical points with level statistics interpolating continuously between the Poisson…

无序系统与神经网络 · 物理学 2016-04-04 Cecile Monthus

As strength of disorder enhances beyond a threshold value in many-body systems, a fundamental transformation happens through which the entire spectrum localizes, a phenomenon known as many-body localization. This has profound implications…

We investigate many-body localization in isotropic Heisenberg spin chains with the local exchange parameters being subject to quenched disorder. Such systems incorporate a nonabelian symmetry in their Hamiltonian by an invariance under…

无序系统与神经网络 · 物理学 2023-12-13 Julian Siegl , John Schliemann

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

The phenomenon of many-body localization in disordered quantum many-body systems occurs when all transport is suppressed despite the fact that the excitations of the system interact. In this work we report on the numerical simulation of…

无序系统与神经网络 · 物理学 2017-05-18 Vipin Kerala Varma , Alessio Lerose , Francesca Pietracaprina , John Goold , Antonello Scardicchio

We theoretically investigate the many-body localization phase transition in a one-dimensional Ising spin chain with random long-range spin-spin interactions, $V_{ij}\propto\left|i-j\right|^{-\alpha}$, where the exponent of the interaction…

量子气体 · 物理学 2016-12-28 Haoyuan Li , Jia Wang , Xia-Ji Liu , Hui Hu

We study numerically the formation of entanglement clusters across the many-body localization phase transition. We observe a crossover from strong many-body entanglement in the ergodic phase to weak local correlations in the localized…

无序系统与神经网络 · 物理学 2019-04-24 Loïc Herviou , Soumya Bera , Jens H. Bardarson

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

无序系统与神经网络 · 物理学 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

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

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
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