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Related papers: Many-body localization with mobility edges

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Thermalization of random-field Heisenberg spin chain is probed by time evolution of density correlation functions. Studying the impacts of average energies of initial product states on dynamics of the system, we provide arguments in favor…

Disordered Systems and Neural Networks · Physics 2020-10-13 Titas Chanda , Piotr Sierant , Jakub Zakrzewski

We analyze many body localization (MBL) in an interacting one-dimensional system with a deterministic aperiodic potential. Below the threshold value of the potential $h < h_c$, the non-interacting system has single particle mobility edges…

Disordered Systems and Neural Networks · Physics 2017-09-06 Sabyasachi Nag , Arti Garg

We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transition, using shift-invert exact diagonalization. We also…

Disordered Systems and Neural Networks · Physics 2018-11-07 Francesca Pietracaprina , Nicolas Macé , David J. Luitz , Fabien Alet

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

Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically localized or delocalized dynamics based on numerical results…

Statistical Mechanics · Physics 2022-06-28 Jonas Richter , Arijeet Pal

We propose a method for detecting many-body localization (MBL) in disordered spin systems. The method involves pulsed, coherent spin manipulations that probe the dephasing of a given spin due to its entanglement with a set of distant spins.…

Disordered Systems and Neural Networks · Physics 2014-10-08 M. Serbyn , M. Knap , S. Gopalakrishnan , Z. Papić , N. Y. Yao , C. R. Laumann , D. A. Abanin , M. D. Lukin , E. A. Demler

The many-body localization (MBL) is commonly related to a strong spatial disorder. We show that MBL may alternatively be generated by adding a temporal disorder to periodically driven many-body systems. We reach this conclusion by mapping…

Disordered Systems and Neural Networks · Physics 2017-10-11 Marcin Mierzejewski , Krzysztof Giergiel , Krzysztof Sacha

We numerically explore the many body localization (MBL) transition through the lens of the {\it entanglement spectrum}. While a direct transition from localization to thermalization is believed to obtain in the thermodynamic limit (the…

Disordered Systems and Neural Networks · Physics 2017-11-17 Scott D. Geraedts , Nicolas Regnault , Rahul M. Nandkishore

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…

We review recent results on many-body localization for two explicitly analyzable models of many-body quantum systems, the XY spin chain in transversal magnetic field as well as interacting systems of harmonic quantum oscillators. In both…

Mathematical Physics · Physics 2018-01-03 Robert Sims , Gunter Stolz

Detecting many-body localization (MBL) typically requires the calculation of high-energy eigenstates using numerical approaches. This study investigates methods that assume the use of a quantum device to detect disorder-induced…

Disordered Systems and Neural Networks · Physics 2022-10-31 Kazue Kudo

Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes.…

Disordered Systems and Neural Networks · Physics 2020-07-29 Ruixiao Yao , Jakub Zakrzewski

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

Many body localization (MBL) represents a unique physical phenomenon, providing a testing ground for exploring thermalization, or more precisely its failure. Here we characterize the MBL regime geometrically by the many-body quantum metric…

Disordered Systems and Neural Networks · Physics 2026-05-14 W. N. Faugno , Tomoki Ozawa

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

We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme…

Disordered Systems and Neural Networks · Physics 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

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

Can localization persist when interaction grows infinitely stronger than randomness? If so, is it many-body Anderson localization? How about the associated localization transition in the infinite-interaction limit? To tackle these…

Disordered Systems and Neural Networks · Physics 2022-12-06 Chun Chen , Yan Chen , Xiaoqun Wang

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 (MBL) appears to be a robust example of ergodicity breaking in many-body interacting systems. Here, we review different aspects of MBL, concentrating on various ways the disorder may be introduced into the system…

Disordered Systems and Neural Networks · Physics 2026-01-15 Konrad Pawlik , Maksym Prodius , Pedro R. Nicácio Falcão , Jakub Zakrzewski