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We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show that moderate interactions induce dynamical thermalization in…

Quantum Gases · Physics 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

We use exact diagonalization to study the breakdown of many-body localization in a strongly disordered and interacting system coupled to a thermalizing environment. We show that the many-body level statistics cross over from Poisson to GOE,…

Disordered Systems and Neural Networks · Physics 2015-03-25 Sonika Johri , Rahul Nandkishore , R. N. Bhatt

The many-body localization transition is a dynamical quantum phase transition between a localized and an extended phase. We study this transition in the XXZ model with disordered magnetic field and focus on the time evolution following a…

Disordered Systems and Neural Networks · Physics 2016-02-24 Rajeev Singh , Jens H. Bardarson , Frank Pollmann

We analyze the dynamics of an initially trapped cloud of interacting quantum particles on a lattice under a linear (Stark) potential. We reveal a dichotomy: initially trapped interacting systems possess features typical of both…

Quantum Gases · Physics 2020-03-25 Pedro Ribeiro , Achilleas Lazarides , Masudul Haque

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator algebraic theory of dynamics in locally interacting systems in any dimension is provided here in terms of time-dependent equilibrium (Gibbs)…

Statistical Mechanics · Physics 2023-08-08 Berislav Buča

Understanding under which conditions physical systems thermalize is a long-standing question in many-body physics. While generic quantum systems thermalize, there are known instances where thermalization is hindered, for example in…

Quantum Physics · Physics 2021-01-08 Carlo Sparaciari , Marcel Goihl , Paul Boes , Jens Eisert , Nelly Huei Ying Ng

It is typically assumed that disorder is essential to realize Anderson localization. Recently, a number of proposals have suggested that an interacting, translation invariant system can also exhibit localization. We examine these claims in…

Disordered Systems and Neural Networks · Physics 2016-12-14 N. Y. Yao , C. R. Laumann , J. I. Cirac , M. D. Lukin , J. E. Moore

We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle…

Statistical Mechanics · Physics 2017-02-01 Xiaopeng Li , Dong-Ling Deng , Yang-Le Wu , S. Das Sarma

Isolated quantum systems with quenched randomness exhibit many-body localization (MBL), wherein they do not reach local thermal equilibrium even when highly excited above their ground states. It is widely believed that individual…

Disordered Systems and Neural Networks · Physics 2016-10-11 A. Chandran , A. Pal , C. R. Laumann , A. Scardicchio

We provide evidence that a clean kicked Bose-Hubbard model exhibits a many-body dynamically localized phase. This phase shows ergodicity breaking up to the largest sizes we were able to consider. We argue that this property persists in the…

Quantum Gases · Physics 2020-02-19 Michele Fava , Rosario Fazio , Angelo Russomanno

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

The many-body localization (MBL) proximity effect is an intriguing phenomenon where a thermal bath localizes due to the interaction with a disordered system. The interplay of thermal and non-ergodic behavior in these systems gives rise to a…

Disordered Systems and Neural Networks · Physics 2023-08-16 Pietro Brighi , Marko Ljubotina , Dmitry A. Abanin , Maksym Serbyn

We study the effect of spatially correlated classical noise on both Anderson and many-body localization of a disordered fermionic chain. By analyzing the evolution of the particle density imbalance following a quench from an initial charge…

Disordered Systems and Neural Networks · Physics 2022-11-02 Stefano Marcantoni , Federico Carollo , Filippo M. Gambetta , Igor Lesanovsky , Ulrich Schneider , Juan P. Garrahan

We propose a spatio-temporal characterization of the entanglement dynamics in many-body localized (MBL) systems, which exhibits a striking resemblance with dynamical heterogeneity in classical glasses. Specifically, we find that the…

Disordered Systems and Neural Networks · Physics 2022-05-17 Claudia Artiaco , Federico Balducci , Markus Heyl , Angelo Russomanno , Antonello Scardicchio

We study if the interplay between dynamical localization and interactions in periodically driven quantum systems can give rise to anomalous thermalization behavior. Specifically, we consider one-dimensional models with interacting spinless…

Statistical Mechanics · Physics 2024-01-08 Sreemayee Aditya , Diptiman Sen

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

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

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

It is believed that thermalization in closed systems of interacting particles can occur only when the eigenstates are fully delocalized and chaotic in the preferential (unperturbed) basis of the total Hamiltonian. Here we demonstrate that…

Quantum Physics · Physics 2018-01-17 Fausto Borgonovi , Felix M. Izrailev

Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in…

Disordered Systems and Neural Networks · Physics 2019-05-29 Dmitry A. Abanin , Ehud Altman , Immanuel Bloch , Maksym Serbyn
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