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Understanding the realization of thermal equilibrium through the thermalization process in a many-body system is a fundamental and complex scientific question, bridging thermodynamics and classical dynamics and connecting to a host of…

Statistical Mechanics · Physics 2026-04-07 Zhenwei Yao

We propose a spatio-temporal characterization of the entanglement dynamics in many-body localized (MBL) systems, which exhibits a striking resemblance with dynamical heterogeneity in classical glasses. Specifically, we find that the…

Disordered Systems and Neural Networks · Physics 2022-05-17 Claudia Artiaco , Federico Balducci , Markus Heyl , Angelo Russomanno , Antonello Scardicchio

We determine the finite-temperature phase diagram of a one-dimensional disordered Bose gas using bosonization and the nonperturbative functional renormalization group (RG). We discuss two different scenarios, based on distinct truncations…

Quantum Gases · Physics 2025-12-17 Vincent Grison , Nicolas Dupuis

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 investigate dynamics of a single mobile impurity immersed in a bath of Anderson localized particles and focus on the regime of relatively strong disorder and interactions. In that regime, the dynamics of the system is particularly slow,…

Disordered Systems and Neural Networks · Physics 2024-03-07 Piotr Sierant , Titas Chanda , Maciej Lewenstein , Jakub Zakrzewski

The Anderson transition on random graphs draws interest through its resemblance to the many-body localization (MBL) transition with similarly debated properties. In this Letter, we construct a unitary Anderson model on Small-World graphs to…

Disordered Systems and Neural Networks · Physics 2025-02-25 Weitao Chen , Ignacio García-Mata , John Martin , Jiangbin Gong , Bertrand Georgeot , Gabriel Lemarié

We study a partially disordered one-dimensional system with interacting particles. Concretely, we impose a disorder potential to only every other site, followed by a clean site. Our numerical analysis of eigenstate properties is based on…

Quantum Gases · Physics 2024-03-29 Suman Mondal , Fabian Heidrich-Meisner

We use thermalization indicators and numerical linked cluster expansions to probe the onset of many-body localization in a disordered one-dimensional hard-core boson model in the thermodynamic limit. We show that after equilibration…

Statistical Mechanics · Physics 2015-04-24 Baoming Tang , Deepak Iyer , Marcos Rigol

We present numerically exact non-equilibrium dynamics of a one-dimensional Bose gas in quasi-periodic lattice that plays an intermediate role between the long-ranged order and truly disordered systems exhibiting unusual correlated phases.…

Quantum Gases · Physics 2025-09-25 Attis V. M. Marino , M. A. Caracanhas , V. S. Bagnato , B. Chakrabarti

We explore dynamics of disordered and quasi-periodic interacting lattice models using a self-consistent time-dependent Hartree-Fock (TDHF) approximation, accessing both large systems (up to $L = 400$ sites) and very long times (up to $t =…

Disordered Systems and Neural Networks · Physics 2021-10-05 Paul Pöpperl , Elmer V. H. Doggen , Jonas F. Karcher , Alexander D. Mirlin , Konstantin S. Tikhonov

We investigate the ground-state properties of a disorderd Ising model with uniform transverse field on the Bethe lattice, focusing on the quantum phase transition from a paramagnetic to a glassy phase that is induced by reducing the…

Quantum Physics · Physics 2017-02-09 Gianni Mossi , Tommaso Parolini , Sebastiano Pilati , Antonello Scardicchio

Besides the dynamical slowing down signaled by an enormous increase of the viscosity approaching the glass transition, structural glasses show interesting anomalous thermodynamic features at low temperatures that hint at peculiar deviations…

Disordered Systems and Neural Networks · Physics 2019-12-05 M. Paoluzzi , L. Angelani

We show how lattice gauge theories can display many-body localization dynamics in the absence of disorder. Our starting point is the observation that, for some generic translationally invariant states, Gauss law effectively induces a…

Strongly Correlated Electrons · Physics 2018-01-24 Marlon Brenes , Marcello Dalmonte , Markus Heyl , Antonello Scardicchio

The statics of the Fredrickson-Andersen model (FAM) of the liquid-glass transition is solved on the Bethe lattice (BL). The kinetic constraints of the FAM imply on the BL an ergodicity-breaking transition to a (glassy) phase where a…

Disordered Systems and Neural Networks · Physics 2024-10-24 Gianmarco Perrupato , Tommaso Rizzo

We explore the high-temperature dynamics of the disordered, one-dimensional XXZ model near the many-body localization (MBL) transition, focusing on the delocalized (i.e., "metallic") phase. In the vicinity of the transition, we find that…

Disordered Systems and Neural Networks · Physics 2015-04-29 Kartiek Agarwal , Sarang Gopalakrishnan , Michael Knap , Markus Mueller , Eugene Demler

Coupling a many-body-localized system to a dissipative bath necessarily leads to delocalization. Here, we investigate the nature of the ensuing relaxation dynamics and the information it holds on the many-body-localized state. We formulate…

Strongly Correlated Electrons · Physics 2016-04-20 Mark H Fischer , Mykola Maksymenko , Ehud Altman

A canonical model for many-body localization (MBL) is studied, of interacting spinless fermions on a lattice with uncorrelated quenched site-disorder. The model maps onto a tight-binding model on a `Fock-space (FS) lattice' of many-body…

Strongly Correlated Electrons · Physics 2019-01-23 David E. Logan , Staszek Welsh

We study by Molecular Dynamics simulation a dense one-component system of particles confined on a spherical substrate. We more specifically investigate the evolution of the structural and dynamical properties of the system when changing the…

Soft Condensed Matter · Physics 2018-05-23 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is characterized by a mobility edge. We…

Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a…

Disordered Systems and Neural Networks · Physics 2021-01-14 Louk Rademaker , Dmitry A. Abanin