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Related papers: Facets of Many Body Localization

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Many-body localization (MBL) in a one-dimensional Fermi Hubbard model with random on-site interactions is studied. While for this model all single-particle states are trivially delocalized, it is shown that for sufficiently strong…

Disordered Systems and Neural Networks · Physics 2016-11-22 Yevgeny Bar Lev , David R. Reichman , Yoav Sagi

The law of statistical physics dictates that generic closed quantum many-body systems initialized in nonequilibrium will thermalize under their own dynamics. However, the emergence of many-body localization (MBL) owing to the interplay…

Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a random on-site potential is compared with…

Disordered Systems and Neural Networks · Physics 2018-04-24 Piotr Sierant , Jakub Zakrzewski

In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact…

Disordered Systems and Neural Networks · Physics 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

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…

Disordered Systems and Neural Networks · Physics 2021-03-17 Rahul Sahay , Francisco Machado , Bingtian Ye , Chris R. Laumann , Norman Y. Yao

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced many-body localization (MBL). However, the sensitivity of the spatial boundary conditions and the interplay of the non-Hermitian skin effect with…

Disordered Systems and Neural Networks · Physics 2022-12-09 Kuldeep Suthar , Yi-Cheng Wang , Yi-Ping Huang , H. H. Jen , Jhih-Shih You

Since the seminal work of Anderson, localisation has been recognised as a standard mechanism allowing quantum many-body systems to escape ergodicity. This idea acquired even more prominence in the last decade as it has been argued that…

Chaotic Dynamics · Physics 2022-04-25 Bruno Bertini , Pavel Kos , Tomaz Prosen

Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by…

Strongly Correlated Electrons · Physics 2016-06-21 Emanuele Levi , Markus Heyl , Igor Lesanovsky , Juan P. Garrahan

Closed, interacting, quantum systems have the potential to transition to a many-body localized (MBL) phase under the presence of sufficiently strong disorder, hence breaking ergodicity and failing to thermalize. In this work we study the…

Disordered Systems and Neural Networks · Physics 2020-07-15 Benjamin Villalonga , Bryan K. Clark

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

Nonequilibrium dynamics in isolated quantum many-body systems displays a number of intriguing features, such as many-body localization (MBL) and prethermalization. Here we investigate a simple ladder system with disorder, in which various…

Quantum Physics · Physics 2020-09-23 Yang Zhao , Rajesh Narayanan , Jaeyoon Cho

Many-body localization (MBL) is a novel prototype of ergodicity breaking due to the emergence of local integrals of motion (LIOMs) in a disordered interacting quantum system. To better understand the role played by the existence of such…

Disordered Systems and Neural Networks · Physics 2022-08-10 S. Adami , M. Amini , M. Soltani

The absence of thermalization in certain isolated many-body systems is of great fundamental interest. Many-body localization (MBL) is a widely studied mechanism for thermalization to fail in strongly disordered quantum systems, but it is…

Disordered Systems and Neural Networks · Physics 2023-11-07 L. J. Stanley , Ping V. Lin , J. Jaroszyński , Dragana Popović

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

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…

Statistical Mechanics · Physics 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin

Many-body localization (MBL) behavior is analyzed {in an extended Bose-Hubbard model with quasiperiodic infinite-range interactions. No additional disorder is present. Examining level statistics and entanglement entropy of eigenstates we…

Disordered Systems and Neural Networks · Physics 2021-06-02 Piotr Kubala , Piotr Sierant , Giovanna Morigi , Jakub Zakrzewski

Localization in interacting systems caused by disorder, known as many-body localization (MBL), has attracted a lot of attention in recent years. Most systems studied in this context also show single-particle localization, and the question…

Statistical Mechanics · Physics 2017-08-02 Rajeev Singh , Efrat Shimshoni

We give an introduction into some aspects of the emerging mathematical theory of many-body localization (MBL) for disordered quantum spin chains. In particular, we discuss manifestations of MBL such as zero-velocity Lieb-Robinson bounds,…

Mathematical Physics · Physics 2019-02-15 Günter Stolz

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

We study the many-body localization (MBL) transition in a generalized Aubry-Andre model (also known as the GPD model) introduced in Phys. Rev. Lett. 114, 146601 (2015). In contrast to MBL in other disordered or quasiperiodic models, the…

Disordered Systems and Neural Networks · Physics 2024-06-14 Ke Huang , DinhDuy Vu , Sankar Das Sarma , Xiao Li