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Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by $D$ incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly…

Disordered Systems and Neural Networks · Physics 2022-04-20 David M. Long , Philip J. D. Crowley , Anushya Chandran

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon…

Disordered Systems and Neural Networks · Physics 2015-12-09 Ranjan Modak , Subroto Mukerjee

We introduce a method to efficiently study the dynamical properties of many-body localized systems in the regime of strong disorder and weak interactions. Our method reproduces qualitatively and quantitatively the real-time evolution with a…

Disordered Systems and Neural Networks · Physics 2019-07-03 Giuseppe De Tomasi , Frank Pollmann , Markus Heyl

Despite a very good understanding of single-particle Anderson localization in one-dimensional (1D) disordered systems, many-body effects are still full of surprises, a famous example being the interaction-driven many-body localization (MBL)…

Disordered Systems and Neural Networks · Physics 2023-11-14 Jeanne Colbois , Nicolas Laflorencie

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 present a fully analytical description of a many body localization (MBL) transition in a microscopically defined model. Its Hamiltonian is the sum of one- and two-body operators, where both contributions obey a maximum-entropy principle…

Strongly Correlated Electrons · Physics 2021-01-13 Felipe Monteiro , Tobias Micklitz , Masaki Tezuka , Alexander Altland

It is known that strong disorder in closed quantum systems leads to many-body localization (MBL), and that this quantum phase can be destroyed by coupling to an infinitely large Markovian environment. However, the stability of the MBL phase…

Disordered Systems and Neural Networks · Physics 2023-07-07 Shao-Hen Chiew , Jiangbin Gong , Leong-Chuan Kwek , Chee-Kong Lee

We study the many-body localization (MBL) transition in an 1D exactly solvable system with long-range hopping and quasiperiodic on-site potential introduced in Phys. Rev. Lett. 131, 186303 (2023). Unlike other disorder or quasiperiodic…

Disordered Systems and Neural Networks · Physics 2025-01-09 Haowei Fan , Ke Huang , Xiao Li

In this paper we propose a new perspective to analyze the many-body localization (MBL) transition when recast in terms of a single-particle tight-binding model in the space of many-body configurations. We compute the distribution of…

Statistical Mechanics · Physics 2020-08-05 Marco Tarzia

We present a review of recent theoretical results concerning the many-body localization (MBL) phenomenon, with the emphasis on dynamical density correlations and transport quantities. They are shown to be closely related, providing a…

Strongly Correlated Electrons · Physics 2017-04-13 P. Prelovšek , M. Mierzejewski , O. Barišić , J. Herbrych

We present an introductory review of nonergodic dynamics in interacting many-body quantum systems, focusing on the phenomenon of many-body localization (MBL). We describe aspects of MBL and summarize the evidence for a crossover from the…

Quantum Physics · Physics 2026-04-15 Jakub Zakrzewski

Characterizing out-of-equilibrium many-body dynamics is a complex but crucial task for quantum applications and the understanding of fundamental phenomena. A central question is the role of localization in quenching quantum thermalization,…

Disordered Systems and Neural Networks · Physics 2018-02-20 Ken Xuan Wei , Chandrasekhar Ramanathan , Paola Cappellaro

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

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

Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder, allowing quantum systems to prevent thermalization. In this study, we investigate the MBL properties of the fully…

Disordered Systems and Neural Networks · Physics 2024-02-20 Jiameng Hong , Taotao Hu

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…

Disordered Systems and Neural Networks · Physics 2020-10-12 Scott Richard Taylor , Maximilian Schulz , Frank Pollmann , Roderich Moessner

The connection between entanglement dynamics and non-equilibrium statistics in isolated many-body quantum systems has been established both theoretically and experimentally. Many-Body Localization (MBL), a phenomenon where interacting…

Quantum Physics · Physics 2025-07-04 Peyman Azodi , Herschel A. Rabitz

Understanding how the interaction range and various types of disorder affect the level statistics of many-body quantum systems and lead to the emergence of many-body localization (MBL) is a challenging open frontier. We study the level…

Strongly Correlated Electrons · Physics 2026-04-17 Vengatesan Ganapathy , Pranay Patil , Ajit C. Balram

Many-body localized (MBL) phases of disordered quantum many-particle systems have a number of unique properties, including failure to act as a thermal bath and protection of quantum coherence. Studying MBL is complicated by the effects of…

Disordered Systems and Neural Networks · Physics 2022-01-03 Michael Sonner , Alessio Lerose , Dmitry A. Abanin

We chart out the ground state phase diagram and demonstrate the presence of a many-body localized (MBL) phase for an experimentally realizable one-dimensional (1D) constrained dipole boson model in the presence of an Aubry-Andre (AA)…

Strongly Correlated Electrons · Physics 2018-10-31 Anirban Dutta , Subroto Mukerjee , K. Sengupta
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