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The disorder-induced localization of few bosons interacting via a contact potential is investigated through the analysis of the level-spacing statistics familiar from random matrix theory. The model we consider is defined in a continuum and…

Quantum Gases · Physics 2019-07-04 Pere Mujal , Artur Polls , Sebastiano Pilati , Bruno Juliá-Díaz

We establish the complete spectral exponential, and the strong Hilbert-Schmidt dynamical localization for the one-dimensional multi-particle Anderson tight-binding model and for weakly interacting particles system. In other words, we show…

Mathematical Physics · Physics 2017-03-23 Trésor Ekanga

We consider from the localization perspective the new critical phenomena discovered recently for perturbed random regular graphs (RRG) and constrained Erd\H{o}s-R\'enyi networks (CERN) \cite{crit2}. At some critical value of the chemical…

Disordered Systems and Neural Networks · Physics 2018-04-10 V. Avetisov , A. Gorsky , S. Nechaev , O. Valba

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…

The principles of ergodicity and thermalization constitute the foundation of statistical mechanics, positing that a many-body system progressively loses its local information as it evolves. Nevertheless, these principles can be disrupted…

Quantum Physics · Physics 2024-01-09 M. G. Sousa , Rafael F. P. Costa , G. D. de Moraes Neto , E. Vernek

Quantum simulators enable studies of many-body phenomena which are intractable with classical hardware. Spins in devices based on semiconductor quantum dots promise precise electrical control and scalability advantages, but accessing…

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

A disordered system of interacting particles exhibits localized behavior when the disorder is large compared to the interaction strength. Studying this phenomenon on a quantum computer without error correction is challenging because even…

We investigate dynamical many-body localization and delocalization in an integrable system of periodically-kicked, interacting linear rotors. The Hamiltonian we investigate is linear in momentum, and its Floquet evolution operator is…

Disordered Systems and Neural Networks · Physics 2016-08-17 Aydin Cem Keser , Sriram Ganeshan , Gil Refael , Victor Galitski

Quantum many-body systems with kinetic constraints exhibit intriguing relaxation dynamics. Recent experimental progress in the field of cold atomic gases offers a handle for probing collective behavior of such systems, in particular for…

Quantum Gases · Physics 2019-06-12 Maike Ostmann , Matteo Marcuzzi , Juan P. Garrahan , Igor Lesanovsky

We uncover the interaction-induced \emph{stable self-localization} of bosons in disorder-free superlattices. In these nonthermalized multi-particle states, one of the particles forms a superposition of multiple standing waves, so that it…

Quantum Physics · Physics 2023-05-03 Na Zhang , Yongguan Ke , Ling Lin , Li Zhang , Chaohong Lee

Recent work has focused on exploring many-body localization (MBL) in systems without quenched disorder: one such proposal is Stark MBL in which small perturbations to a strong linear potential yield localization. However, as with…

Disordered Systems and Neural Networks · Physics 2020-10-12 Scott Richard Taylor , Maximilian Schulz , Frank Pollmann , Roderich Moessner

We introduce an extension of the non-equilibrium dynamical mean field theory to incorporate the effects of static random disorder in the dynamics of a many-particle system by integrating out different disorder configurations resulting in an…

Strongly Correlated Electrons · Physics 2025-04-28 Chakradhar Rangi , Herbert F Fotso , Hanna Terletska , Juana Moreno , Ka-Ming Tam

We study the out-of-equilibrium dynamics of dipolar bosons and fermions after a sudden change in the interaction strength from zero to a finite repulsive value. We simulate the interaction quench on the initial state which is the ground…

Quantum Gases · Physics 2025-11-19 Barnali Chakrabarti , N D Chavda , F. V. Prudente

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited…

Disordered Systems and Neural Networks · Physics 2015-07-27 E. J. Torres-Herrera , Lea F. Santos

Motivated by an experiment by Sivan et al. (Europhys. Lett. 25, 605 (1994)) and by subsequent theoretical work on localization in Fock space, we study numerically a hierarchical model for a finite many-body system of Fermions moving in a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Carlos Mejia-Monasterio , Jean Richert , Thomas Rupp , Hans A. Weidenmueller

We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the…

Disordered Systems and Neural Networks · Physics 2017-03-29 Rajeev Singh , Roderich Moessner , Dibyendu Roy

Many-body localization (MBL) is an example of a dynamical phase of matter that avoids thermalization. While the MBL phase is robust to weak local perturbations, the fate of an MBL system coupled to a thermalizing quantum system that…

Disordered Systems and Neural Networks · Physics 2022-07-13 Pietro Brighi , Alexios A. Michailidis , Dmitry A. Abanin , Maksym Serbyn

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

Disordered Systems and Neural Networks · Physics 2015-05-20 Arijeet Pal , David A. Huse

We generate translationally invariant systems exhibiting many-body localization from All-Bands- Flat single particle lattice Hamiltonians dressed with suitable short-range many-body interactions. This phenomenon - dubbed Many-Body Flatband…

Statistical Mechanics · Physics 2020-07-29 Carlo Danieli , Alexei Andreanov , Sergej Flach