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We investigate the transition from the many-body localized phase to the ergodic thermalized phase at an infinite temperature in an $XY$ spin chain with $L$ spins, which experiences power-law decaying interactions in the form of…

Quantum Gases · Physics 2019-12-18 Sebastian Schiffer , Jia Wang , Xia-Ji Liu , Hui Hu

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…

Strongly Correlated Electrons · Physics 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

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…

Disordered Systems and Neural Networks · Physics 2026-02-06 Illia Lukin , Andrii Sotnikov , Alexander L. Burin

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…

Disordered Systems and Neural Networks · Physics 2015-05-20 Arijeet Pal , David A. Huse

Many-body localization in an $XY$ model with a long-range interaction is investigated. We show that in the regime of a high strength of disordering compared to the interaction an off-resonant flip-flop spin-spin interaction (hopping)…

Disordered Systems and Neural Networks · Physics 2015-11-17 Alexander L. Burin

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…

Disordered Systems and Neural Networks · Physics 2025-04-15 Taotao Hu , Yuting Li , Jiameng Hong , Xiaodan Li , Dongyan Guo , Kangning Chen

We apply support vector machine (SVM) to study the phase transition between many-body localized and thermal phases in a disordered quantum Ising chain in a transverse external field. The many-body eigenstate energy $E$ is bounded by a…

Disordered Systems and Neural Networks · Physics 2019-02-26 Wei Zhang , Lei Wang , Ziqiang Wang

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, $\alpha< 3/2$,…

Disordered Systems and Neural Networks · Physics 2020-01-15 Andrii O. Maksymov , Alexander L. Burin

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…

This comment is dedicated to the investigation of many-body localization in a quantum Ising model with long-range power law interactions, $r^{-\alpha}$, relevant for a variety of systems ranging from electrons in Anderson insulators to spin…

Disordered Systems and Neural Networks · Physics 2017-12-06 Andrii O. Maksymov , Noah Rahman , Eliot Kapit , Alexander L. Burin

Disorder free many-body localization (MBL) can occur in interacting systems that can dynamically generate their own disorder. We address the thermal-MBL phase transition of two isotropic Heisenberg spin chains that are quasi-periodically…

Disordered Systems and Neural Networks · Physics 2024-09-04 K. G. S. H. Gunawardana , Bruno Uchoa

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…

Disordered Systems and Neural Networks · Physics 2015-03-13 Arijeet Pal , David A. Huse

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…

Disordered Systems and Neural Networks · Physics 2024-05-06 Taotao Hu , Yining Zhang , Hang Ren , Yiwen Gao , Xiaodan Li , Jiameng Hong , Yuting Li

While there are well established methods to study delocalization transitions of single particles in random systems, it remains a challenging problem how to characterize many body delocalization transitions. Here, we use a generalized…

Disordered Systems and Neural Networks · Physics 2015-09-28 N. Moure , S. Haas , S. Kettemann

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 $1$…

Disordered Systems and Neural Networks · Physics 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

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…

Strongly Correlated Electrons · Physics 2019-08-13 Wei Zhang , Ziqiang Wang

We study the many-body localization of spin chain systems with quasiperiodic fields. We identify the lower bound for the critical disorder necessary to drive the transition between the thermal and many-body localized phase to be $W_{cl}\sim…

Disordered Systems and Neural Networks · Physics 2017-08-30 Mac Lee , Thomas R. Look , D. N. Sheng , S. P. Lim

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

Disordered Systems and Neural Networks · Physics 2019-10-09 Sthitadhi Roy , David E. Logan

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…

Disordered Systems and Neural Networks · Physics 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

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…

Disordered Systems and Neural Networks · Physics 2018-06-26 K. S. Tikhonov , A. D. Mirlin
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