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The method proposed by the present authors to deal analytically with the problem of Anderson localization via disorder [J.Phys.: Condens. Matter {\bf 14} (2002) 13777] is generalized for higher spatial dimensions D. In this way the…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. N. Kuzovkov , W. von Niessen

Motivated by the recent experiments that reported signatures of many-body localization of ultracold atoms in optical lattices [M. Schreiber {\it et al.}, Science {\bf 349}, 842 (2015)], we study dynamics of highly excited states in the…

Strongly Correlated Electrons · Physics 2019-03-13 Ivan Protopopov , Dmitry Abanin

In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive…

Disordered Systems and Neural Networks · Physics 2017-02-22 I. Yusipov , T. Laptyeva , S. Denisov , M. Ivanchenko

We investigate the effect of degenerate atomic states on the exciton delocalization of dipole-dipole interacting Rydberg assemblies. Using a frozen gas and regular one-, two-, and three-dimensional lattice arrangements as examples, we see…

Atomic Physics · Physics 2021-07-21 Ghassan Abumwis , Christopher W. Wächtler , Matthew T. Eiles , Alexander Eisfeld

In the present work, we investigated the correlation-induced localization-delocalization transition in the one-dimensional tight-binding model with fractal disorder. We obtained a phase transition diagram from localized to extended states…

Disordered Systems and Neural Networks · Physics 2015-08-26 Hiroaki S. Yamada

We establish the phenomenon of Anderson localisation for a quantum two-particle system on a d-dimensional lattice with short-range interaction and in presence of an IID external potential with sufficiently regular marginal distribution.

Mathematical Physics · Physics 2009-11-13 Victor Chulaevsky , Yuri Suhov

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 extend the bootstrap multi-scale analysis developed by Germinet and Klein to the multi-particle Anderson model, obtaining Anderson localization, dynamical localization, and decay of eigenfunction correlations.

Mathematical Physics · Physics 2015-06-12 Abel Klein , Son T. Nguyen

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

In this work we introduce the Dual Boson Diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for non-perturbative description of local correlations…

Strongly Correlated Electrons · Physics 2020-11-06 M. Vandelli , V. Harkov , E. A. Stepanov , J. Gukelberger , E. Kozik , A. Rubio , A. I. Lichtenstein

We present the first rigorous result on Anderson localization for interacting systems of quantum particles subject to a deterministic (e.g., almost periodic) disordered external potential. For a particular class of deterministic, fermionic,…

Mathematical Physics · Physics 2014-02-28 Victor Chulaevsky

An effective Hamiltonian and equations of motion for treating both the resonant dipole-dipole interaction between two-level atoms and the resonant atom-field interaction are derived, which can suitably be used for studying the influence of…

Quantum Physics · Physics 2016-08-16 D. -G. Welsch , Ho Trung Dung , L. Knöll

We study the properties of the spinor wavefunction in a strongly disordered environment on a two-dimensional lattice. By employing a transfer-matrix calculation we find that there is a transition from delocalized to localized states at a…

Disordered Systems and Neural Networks · Physics 2013-10-09 A. Hill , K. Ziegler

Motivated by the many-body localization (MBL) phase in generic interacting disordered quantum systems, we develop a model simulating the same eigenstate structure like in MBL, but in the random-matrix setting. Demonstrating the absence of…

Disordered Systems and Neural Networks · Physics 2023-09-15 Weichen Tang , Ivan M. Khaymovich

Issues related to quantum entanglement in systems of indistinguishable particles, as discussed in the information theoretic approach, are extended to anyonic statistics. Local and non-local measurements discussed in this framework are…

Quantum Physics · Physics 2021-10-28 Ramadas N , V V Sreedhar

Anderson localization (AL) and the non-Hermitian skin effect (NHSE) represent two paradigmatic localization phenomena driven, respectively, by disorder and non-Hermiticity. In one-dimensional (1D) non-Hermitian systems, these factors are…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Moirangthem Sanahal , Subhasis Panda , Snehasish Nandy

The Anderson localization transition is one of the most well studied examples of a zero temperature quantum phase transition. On the other hand, many open questions remain about the phenomenology of disordered systems driven far out of…

Statistical Mechanics · Physics 2019-09-11 Michael J. Gullans , David A. Huse

A two-band model of a disordered semiconductor is used to analyze dynamical interaction induced weakening of localization in a system that is accessible to experimental verification. The results show a dependence on the sign of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Brinkmann , J. E. Golub , S. W. Koch , P. Thomas , K. Maschke , I. Varga

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

We study the effect of long range particle exchange in bosonic arrangements. We show that by combining the solution of the Heisenberg equations of motion with matrix product state representation it is possible to investigate the dynamics as…

Quantum Physics · Physics 2009-07-27 Jose Reslen , Sougato Bose
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