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Recent developments in matrix-product-state (MPS) investigations of many-body localization (MBL) are reviewed, with a discussion of benefits and limitations of the method. This approach allows one to explore the physics around the MBL…

Disordered Systems and Neural Networks · Physics 2022-04-29 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin , Dmitry G. Polyakov

The disordered many-body systems can undergo a transition from the extended ensemble to a localized ensemble, known as many-body localization (MBL), which has been intensively explored in recent years. Nevertheless, the relation between…

Disordered Systems and Neural Networks · Physics 2019-10-17 Hong-Ze Xu , Shun-Yao Zhang , Ze-Yu Rao , Zhengwei Zhou , Guang-Can Guo , Ming Gong

The Mott-insulating phase of the two-dimensional (2d) Bose-Hubbard model is expected to be characterized by a non-local brane parity order. Parity order captures the presence of microscopic particle-hole fluctuations and entanglement, whose…

Magnetic phases are commonly identified through macroscopic magnetization, yet many ordered states, including antiferromagnets and altermagnets, possess a vanishing net moment despite distinct local spin structure. We show that such an…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Rishith Reddy , Parveen Kumar , Ankur Das

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

We study the eigenstate properties of a nonintegrable spin chain that was recently realized experimentally in a Rydberg-atom quantum simulator. In the experiment, long-lived coherent many-body oscillations were observed only when the system…

Strongly Correlated Electrons · Physics 2019-12-04 Thomas Iadecola , Michael Schecter , Shenglong Xu

Recent work by De Roeck et al. [Phys. Rev. B 95, 155129 (2017)] has argued that many-body localization (MBL) is unstable in two and higher dimensions due to a thermalization avalanche triggered by rare regions of weak disorder. To examine…

Disordered Systems and Neural Networks · Physics 2019-05-29 Ionut-Dragos Potirniche , Sumilan Banerjee , Ehud Altman

Many-body localization (MBL) is an emergent phase in correlated quantum systems with promis- ing applications, particularly in quantum information. Here, we unveil the existence and analyse this phase in a chiral multiferroic model system.…

Disordered Systems and Neural Networks · Physics 2017-08-29 S. Stagraczyński , L. Chotorlishvili , M. Schüler , M. Mierzejewski , J. Berakdar

At low energy, the dynamics of excitations of many physical systems are locally constrained. Examples include frustrated anti-ferromagnets, fractional quantum Hall fluids and Rydberg atoms in the blockaded regime. Can such locally…

Disordered Systems and Neural Networks · Physics 2018-08-30 Chun Chen , Fiona Burnell , Anushya Chandran

Stark many-body localization (SMBL) is a phenomenon observed in interacting systems with a nearly uniform spatial gradient applied field. Contrasting to the traditional many-body localization phenomenon, SMBL does not require disorder. Here…

Disordered Systems and Neural Networks · Physics 2022-02-14 E. Vernek

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…

Disordered Systems and Neural Networks · Physics 2015-03-05 David J. Luitz , Nicolas Laflorencie , Fabien Alet

We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on a regime of large system sizes and a long time evolution. This regime is relevant for observation of many-body localization (MBL), a phenomenon that is expected…

Disordered Systems and Neural Networks · Physics 2022-08-02 Piotr Sierant , Jakub Zakrzewski

The eigenstates of a quantum spin glass Hamiltonian with long-range interaction are examined from the point of view of localisation and entanglement. In particular, low particle sectors are examined and an anomalous family of eigenstates is…

Quantum Physics · Physics 2017-10-18 Arun Kannawadi , Auditya Sharma , Arul Lakshminarayan

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

Strongly Correlated Electrons · Physics 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

We explore the Fock-space structure of eigenstates across the many-body localisation (MBL) transition in a disordered, interacting quantum spin-1/2 chain. Eigenstate expectation values of spatially local observables, which distinguish an…

Disordered Systems and Neural Networks · Physics 2021-11-04 Sthitadhi Roy , David E. Logan

Strong disorder in interacting quantum systems can give rise to the phenomenon of Many-Body Localization (MBL), which defies thermalization due to the formation of an extensive number of quasi local integrals of motion. The one particle…

Disordered Systems and Neural Networks · Physics 2018-03-14 Benjamin Villalonga , Xiongjie Yu , David J. Luitz , Bryan K. Clark

We examine the interplay of interaction and disorder for a Heisenberg spin ladder system with random fields. We identify many-body localized states based on the entanglement entropy scaling, where delocalized and localized states have…

Strongly Correlated Electrons · Physics 2015-12-09 Elliott Baygan , S. P. Lim , D. N. Sheng

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…

Disordered Systems and Neural Networks · Physics 2017-07-19 Soumya Bera , Thomas Martynec , Henning Schomerus , Fabian Heidrich-Meisner , Jens H. Bardarson

We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

Statistical Mechanics · Physics 2015-07-07 Yichen Huang

Many-body localization (MBL) features are studied here for a large spin chain model with long range interactions. The model corresponds to cold atoms placed inside a cavity and driven by an external laser field with long range interactions…

Disordered Systems and Neural Networks · Physics 2022-02-28 Titas Chanda , Jakub Zakrzewski
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