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Related papers: Slow many-body delocalization beyond one dimension

200 papers

We study delocalization transition in a one-dimensional electron system with quenched disorder by using supersymmetric (SUSY) methods. Especially we focus on effects of nonlocal correlation of disorder, for most of studies given so far…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ikuo Ichinose , Masaomi Kimura

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 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

We investigate two-dimensional Bose system with the long range interactions in the presence of disorder. Formation of the bound states at strong impurity sites gives rise to an additional depletion of the superfluid density. We demonstrate…

Superconductivity · Physics 2009-11-10 A. V. Lopatin , V. M. Vinokur

We study quench dynamics in an interacting spin chain with a quasi-periodic on-site field, known as the interacting Aubry-Andr\'e model of many-body localization. Using the time-dependent variational principle, we assess the late-time…

Disordered Systems and Neural Networks · Physics 2019-09-17 Elmer V. H. Doggen , Alexander D. Mirlin

We focus on the many-body eigenstates across a localization-delocalization phase transition. To characterize the robustness of the eigenstates, we introduce the eigenstate overlaps $\mathcal{O}$ with respect to the different boundary…

Disordered Systems and Neural Networks · Physics 2020-07-31 Zi-Yong Ge , Heng Fan

Isolated quantum systems at strong disorder can display many-body localization (MBL), a remarkable phenomena characterized by an absence of conduction even at finite temperatures. As the ratio of interactions to disorder is increased, one…

Disordered Systems and Neural Networks · Physics 2014-05-08 Tarun Grover

We consider the many-body localization-delocalization transition for strongly interacting one- dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two…

Disordered Systems and Neural Networks · Physics 2016-09-21 V. P. Michal , I. L. Aleiner , B. L. Altshuler , G. V. Shlyapnikov

We study the dynamics and the resulting state after relaxation in a quasi-disordered integrable lattice system after a sudden quench. Specifically, we consider hard-core bosons in an isolated one-dimensional geometry in the presence of a…

Statistical Mechanics · Physics 2012-11-19 Christian Gramsch , Marcos Rigol

We consider a quench in an infinite spin ladder describing a system with two species of bosons in the limit of strong interactions. If the heavy bosonic species has infinite mass the model becomes a spin chain with quenched binary disorder…

Disordered Systems and Neural Networks · Physics 2019-03-01 J. Sirker

The presence of frozen uncorrelated random on-site potential in interacting quantum systems can induce a transition from an ergodic phase to a localized one, the so-called many-body localization. Here we numerically study the effects of…

Disordered Systems and Neural Networks · Physics 2023-01-05 Isaías Vallejo-Fabila , E. Jonathan Torres-Herrera

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body localization transition. We use the time-dependent variational…

Disordered Systems and Neural Networks · Physics 2018-11-14 Elmer V. H. Doggen , Frank Schindler , Konstantin S. Tikhonov , Alexander D. Mirlin , Titus Neupert , Dmitry G. Polyakov , Igor V. Gornyi

I discuss whether localization in the two dimensional continuum can be stable in the presence of short range interactions. I conclude that, for an impurity model of disorder, if the system is prepared below a critical temperature $T < T_c$,…

Statistical Mechanics · Physics 2014-12-02 Rahul Nandkishore

We investigate the phenomenon of spatial many-body localization (MBL) through pairwise correlation measures based on one and two-point correlation functions. The system considered is the Heisenberg spin-1/2 chain with exchange interaction…

Disordered Systems and Neural Networks · Physics 2017-07-26 Jaime L. C. da C. Filho , Andreia Saguia , Lea F. Santos , Marcelo S. Sarandy

We consider critical eigenstates in a two dimensional quasicrystal and their evolution as a function of disorder. By exact diagonalization of finite size systems we show that the evolution of properties of a typical wave-function is…

Disordered Systems and Neural Networks · Physics 2023-03-08 Anuradha Jagannathan , Marco Tarzia

We explore the effect of disorder on a few-boson system in a finite one-dimensional quasiperiodic potential covering the full interaction ranging from uncorrelated to strongly correlated particles. We apply numerically exact…

Quantum Gases · Physics 2025-02-21 Barnali Chakrabarti , Arnaldo Gammal

We investigate the effects of disorder and lattice geometry against localisation phenomena in a weakly interacting ultracold bosonic gas confined in a 2D optical lattice. The behaviour of the quantum fluid is studied at the mean-field level…

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

We investigate the transition from the many-body localized phase to the ergodic thermalized phase at an infinite temperature in an $XY$ spin chain with $L$ spins, which experiences power-law decaying interactions in the form of…

Quantum Gases · Physics 2019-12-18 Sebastian Schiffer , Jia Wang , Xia-Ji Liu , Hui Hu