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The dynamics of a many-body system can take many forms, from a purely reversible evolution to fast thermalization. Here we show experimentally and numerically that an assembly of spin 1 atoms all in the same spatial mode allows one to…

Quantum Gases · Physics 2021-02-22 Bertrand Evrard , An Qu , Jean Dalibard , Fabrice Gerbier

The process of thermalization in many-body systems is driven by complex interactions among sub-systems and with the surrounding environment. Here we lay the theoretical foundations for the active control of local thermal states in arbitrary…

Mesoscale and Nanoscale Physics · Physics 2022-12-27 Philippe Ben-Abdallah , Alejandro W. Rodriguez

The transition between ergodic phase and many-body localization (MBL) phase lies at the heart in understanding quantum thermalization of many-body systems. Here we predict a many-body critical phase in the one-dimensional extended…

Disordered Systems and Neural Networks · Physics 2021-02-26 Yucheng Wang , Chen Cheng , Xiong-jun Liu , Dapeng Yu

We study, by means of numerical lattice simulations, the properties of the reconfinement phase transition taking place in trace deformed $SU(3)$ Yang-Mills theory defined on $\mathbb{R}^3\times S^1$, in which center symmetry is recovered…

High Energy Physics - Lattice · Physics 2021-02-24 Claudio Bonati , Marco Cardinali , Massimo D'Elia , Matteo Giordano , Fabrizio Mazziotti

Recently it has been suggested that many-body localization (MBL) can occur in translation-invariant systems, and candidate 1D models have been proposed. We find that such models, in contrast to MBL systems with quenched disorder, typically…

Statistical Mechanics · Physics 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin

A profound quest of statistical mechanics is the origin of irreversibility - the arrow of time. New stimulants have been provided, thanks to unprecedented degree of control reached in experiments with isolated quantum systems and rapid…

Quantum Physics · Physics 2016-06-28 Chushun Tian , Kun Yang , Jiao Wang

We introduce a semiclassical theory for strong localization that may arise in the context of many-body thermalization. As a minimal model for thermalization we consider a few-site Bose-Hubbard model consisting of two weakly interacting…

Quantum Physics · Physics 2018-02-20 Christine Khripkov , Amichay Vardi , Doron Cohen

The spectrally truncated, or finite dimensional, versions of several equations of inviscid flows display transient solutions which match their viscous counterparts, but which eventually lead to thermalized states in which energy is in…

Fluid Dynamics · Physics 2018-04-06 P. Clark di Leoni , P. D. Mininni , M. -E. Brachet

We show that the one-particle density matrix $\rho$ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of $\rho$) are localized in the…

Strongly Correlated Electrons · Physics 2015-07-28 Soumya Bera , Henning Schomerus , Fabian Heidrich-Meisner , Jens H. Bardarson

We focus on the many-body eigenstates across a localization-delocalization phase transition. To characterize the robustness of the eigenstates, we introduce the eigenstate overlaps $\mathcal{O}$ with respect to the different boundary…

Disordered Systems and Neural Networks · Physics 2020-07-31 Zi-Yong Ge , Heng Fan

We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact…

Disordered Systems and Neural Networks · Physics 2019-07-17 Piotr Sierant , Krzysztof Biedroń , Giovanna Morigi , Jakub Zakrzewski

We consider some aspects of a standard model employed in studies of many-body localization: interacting spinless fermions with quenched disorder, for non-zero filling fraction, here on $d$-dimensional lattices. The model may be recast as an…

Strongly Correlated Electrons · Physics 2019-01-10 Staszek Welsh , David E. Logan

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

Strongly Correlated Electrons · Physics 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

We study one-dimensional spinless fermions with random interactions, but without any on-site disorder. We find that random interactions generically stabilize a many-body localized phase, in spite of the completely extended single-particle…

Statistical Mechanics · Physics 2017-02-01 Xiaopeng Li , Dong-Ling Deng , Yang-Le Wu , S. Das Sarma

We study Hilbert-space fragmentation and thermalization in a one-dimensional dipole-conserving Bose-Hubbard chain. By analyzing the structure of the Hamiltonian matrix in the Fock basis, we show that the system exhibits weak Hilbert-space…

Quantum Gases · Physics 2026-05-19 Chenrong Liu

Many-body localization (MBL) hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this work, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain, finding the multimodal distribution…

Disordered Systems and Neural Networks · Physics 2025-02-12 Adith Sai Aramthottil , Piotr Sierant , Maciej Lewenstein , Jakub Zakrzewski

We verify that the eigenstate thermalization hypothesis (ETH) holds universally for locally interacting quantum many-body systems. Introducing random-matrix ensembles with interactions, we numerically obtain a distribution of maximum…

Statistical Mechanics · Physics 2021-03-31 Shoki Sugimoto , Ryusuke Hamazaki , Masahito Ueda

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

The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS$_2$, the so-called…

High Energy Physics - Theory · Physics 2018-02-01 Julian Sonner , Manuel Vielma

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