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The interplay between interactions and quenched disorder can result in rich dynamical quantum phenomena far from equilibrium, particularly when many-body localization prevents the system from full thermalization. With the aim of tackling…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. J. Thomson , M. Schiró

As disorder strength increases in quantum many-body systems a new phase of matter, the so-called anybody localization, emerges across the whole spectrum. This transition is energy dependent, a phenomenon known as mobility edge, such that…

Disordered Systems and Neural Networks · Physics 2023-02-02 Rozhin Yousefjani , Abolfazl Bayat

We study the finite-energy density phase diagram of spinless fermions with attractive interactions in one dimension in the presence of uncorrelated diagonal disorder. Unlike the case of repulsive interactions, a delocalized Luttinger-liquid…

Strongly Correlated Electrons · Physics 2018-01-22 Sheng-Hsuan Lin , B. Sbierski , F. Dorfner , C. Karrasch , F. Heidrich-Meisner

We investigate the effect of ergodic inclusions in putative many-body localized systems. To this end, we consider the random field Heisenberg chain, which is many-body localized at strong disorder and we couple it to an ergodic bubble,…

Disordered Systems and Neural Networks · Physics 2024-07-08 Luis Colmenarez , David J. Luitz , Wojciech De Roeck

We consider the change in electron localization due to the presence of electron-electron repulsion in the \HA model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, the system is mapped onto an…

Disordered Systems and Neural Networks · Physics 2008-12-28 Peter Henseler , Johann Kroha , Boris Shapiro

We study ergodic properties of partially hyperbolic systems whose central direction is mostly contracting. Earlier work of Bonatti, Viana about existence and finitude of physical measures is extended to the case of local diffeomorphisms.…

Dynamical Systems · Mathematics 2008-10-14 Martin Andersson

Motivated by a number of recent experimental and computational studies of the dynamics of fluids plunged in quenched-disordered external fields, we report on a theoretical investigation of this topic within the framework of the…

Soft Condensed Matter · Physics 2018-10-05 Thomas Konincks , Vincent Krakoviack

Local entanglement between pairs of spins, as measured by concurrence, is investigated in a disordered spin model that displays a transition from an ergodic to a many-body localized phase in excited states. It is shown that the concurrence…

Strongly Correlated Electrons · Physics 2016-04-13 Soumya Bera , Arul Lakshminarayan

For a one-dimensional spin chain with random local interactions, we prove that many-body localization follows from a physically reasonable assumption that limits the amount of level attraction in the system. The construction uses a sequence…

Mathematical Physics · Physics 2016-07-08 John Z. Imbrie

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

Disordered Systems and Neural Networks · Physics 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

Chains of superconducting circuit devices provide a natural platform for studies of synthetic bosonic quantum matter. Motivated by the recent experimental progress in realizing disordered and interacting chains of superconducting transmon…

Quantum Physics · Physics 2019-10-09 Tuure Orell , Alexios A. Michailidis , Maksym Serbyn , Matti Silveri

We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of…

Mathematical Physics · Physics 2016-07-07 John Z Imbrie

We study the ergodic properties of excited states in a model of interacting fermions in quasi-one-dimensional chains subjected to a random vector potential. In the noninteracting limit, we show that arbitrarily small values of this complex…

Quantum Gases · Physics 2016-11-23 Chen Cheng , Rubem Mondaini

Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is…

Disordered Systems and Neural Networks · Physics 2020-01-29 K. S. C. Decker , D. M. Kennes , J. Eisert , C. Karrasch

We study a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal environment at infinite temperature. The disorder acts to localise an exciton spatially, while the environment generates dynamics…

Statistical Mechanics · Physics 2014-04-23 Sam Genway , Igor Lesanovsky , Juan P. Garrahan

We study the real-time dynamics of local occupation numbers in a one-dimensional model of spinless fermions with a random on-site potential for a certain class of initial states. The latter are thermal (mixed or pure) states of the model in…

Statistical Mechanics · Physics 2018-10-09 Jonas Richter , Jacek Herbrych , Robin Steinigeweg

When can we map a classical density profile to an external potential? In equilibrium, without time dependence, the one-body density is known to specify the external potential that is applied to the many-body system. This mapping from a…

Mathematical Physics · Physics 2025-03-20 Michael Andreas Klatt , Christian Bair , Hartmut Löwen , René Wittmann

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime. By employing a density matrix renormalization group technique for the study of the stationary states of the boundary-driven Lindblad equation…

Disordered Systems and Neural Networks · Physics 2016-07-27 Marko Znidaric , Antonello Scardicchio , Vipin Kerala Varma

Many-body localization in a disordered system of interacting spins coupled by the long-range interaction $1/R^{\alpha}$ is investigated combining analytical theory considering resonant interactions and a finite size scaling of exact…

Disordered Systems and Neural Networks · Physics 2015-03-03 Alexander L. Burin

We present a numerical study of the many-body localization (MBL) phenomenon in the high-temperature limit within an anisotropic Heisenberg model with random local fields. Taking the dynamical spin conductivity $\sigma(\omega)$ as the test…

Strongly Correlated Electrons · Physics 2016-08-01 Osor S. Barišić , Jure Kokalj , Ivan Balog , Peter Prelovšek
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