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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

Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on disorder in the form of random potentials, while many…

Quantum Physics · Physics 2022-11-22 Adrian Braemer , Titus Franz , Matthias Weidemüller , Martin Gärttner

The strong long-range interaction leads to localization in the closed quantum system without disorders. Employing the exact diagonalization method, the author numerically investigates thermalization and many-body localization in…

Disordered Systems and Neural Networks · Physics 2023-10-17 Chen Cheng

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

Disordered Systems and Neural Networks · Physics 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

The interplay between interaction, disorder, and dissipation has shown a rich phenomenology. Here we investigate a disordered XXZ spin chain in contact with a bath which, alone, would drive the system towards a highly delocalized and…

Disordered Systems and Neural Networks · Physics 2021-04-01 Xiansong Xu , Dario Poletti

This comment is dedicated to the investigation of many-body localization in a quantum Ising model with long-range power law interactions, $r^{-\alpha}$, relevant for a variety of systems ranging from electrons in Anderson insulators to spin…

Disordered Systems and Neural Networks · Physics 2017-12-06 Andrii O. Maksymov , Noah Rahman , Eliot Kapit , Alexander L. Burin

Many-body localization in an $XY$ model with a long-range interaction is investigated. We show that in the regime of a high strength of disordering compared to the interaction an off-resonant flip-flop spin-spin interaction (hopping)…

Disordered Systems and Neural Networks · Physics 2015-11-17 Alexander L. Burin

We study the joint asymptotic behavior of spacings between particles at the edge of multilevel Dyson Brownian motions, when the number of levels tends to infinity. Despite the global interactions between particles in multilevel Dyson…

Probability · Mathematics 2014-09-09 Vadim Gorin , Mykhaylo Shkolnikov

A conducting 1D line or 2D plane inside (or on the surface of) an insulator is considered.Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane).…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. V. Flambaum

The localization in a disordered system of $N$ interacting spins coupled by the long-range anisotropic interaction $1/R^{\alpha}$ is investigated using a finite size scaling in a $d=1$ -dimensional system for $N=8, 10, 12, 14$. The results…

Disordered Systems and Neural Networks · Physics 2015-03-11 Alexander L. Burin

For the weakly interacting one-dimensional multi-particle Anderson model in the continuum space of configurations, we prove the spectral exponential and the strong dynamical localization. The results require the interaction amplitude to be…

Mathematical Physics · Physics 2016-12-04 Trésor Ekanga

Much evidence has been collected to date which shows that repulsive electron-electron interaction can lead to the formation of particle pairs in a one-dimensional random energy landscape. The localization length \lambda_2 of these pair…

Disordered Systems and Neural Networks · Physics 2017-09-27 R. A. Roemer , M. Leadbeater , M. Schreiber

We discuss the effect of disorder on the coherent propagation of the bound state of two attracting particles. It is shown that a result analogous to the Anderson theorem for dirty superconductors is also valid for the Cooper problem,…

Superconductivity · Physics 2009-10-30 M. A. N. Araujo , M. Dzierzawa , C. Aebischer , D. Baeriswyl

Quantum information processing often uses systems with dipolar interactions. We use a nuclear spin-based quantum simulator, to study the spreading of information in such a dipolar-coupled system and how perturbations to the dipolar…

Quantum Physics · Physics 2014-12-31 Gonzalo A. Alvarez , Robin Kaiser , Dieter Suter

We describe the emergence of strong spatial correlations, akin to liquid-like behavior and crystallization effects, in low (one and two) dimensional gases of cold Rydberg atoms. The presence of an external electric field permanently…

We observe the emergence of a disorder-induced insulating state in a strongly interacting atomic Fermi gas trapped in an optical lattice. This closed quantum system free of a thermal reservoir realizes the disordered Fermi-Hubbard model,…

Quantum Gases · Physics 2015-03-05 S. S. Kondov , W. R. McGehee , W. Xu , B. DeMarco

We numerically explore the long-time expansion of a one-dimensional Bose-Einstein condensate in a disorder potential employing the Gross-Pitaevskii equation. The goal is to search for unique signatures of Anderson localization in the…

Quantum Gases · Physics 2017-11-08 Stefan Donsa , Harald Hofstätter , Othmar Koch , Joachim Burgdörfer , Iva Brezinova

It is shown that the Coulomb interaction can lead to delocalization of two electron states in two-dimensional (2D) disordered potential in a way similar to the Anderson transition in three dimensions (3D). At fixed disorder strength the…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

In one-dimensional quantum emitter systems, the dynamics of atomic excitations are influenced by the collective coupling between emitters through photon-mediated dipole-dipole interactions. By introducing positional disorders in a portion…

Quantum Physics · Physics 2024-02-14 C. -C. Wu , K. -T. Lin , I G. N. Y. Handayana , C. -H. Chien , S. Goswami , G. -D. Lin , Y. -C. Chen , H. H. Jen

One of the most important issues in disordered systems is the interplay of the disorder and repulsive interactions. Several recent experimental advances on this topic have been made with ultracold atoms, in particular the observation of…

Quantum Gases · Physics 2011-02-11 B. Deissler , E. Lucioni , M. Modugno , G. Roati , L. Tanzi , M. Zaccanti , M. Inguscio , G. Modugno