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We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai-oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that for…

Quantum Gases · Physics 2019-08-09 Klaus M. Frahm , Leonardo Ermann , Dima L. Shepelyansky

We study if the interplay between dynamical localization and interactions in periodically driven quantum systems can give rise to anomalous thermalization behavior. Specifically, we consider one-dimensional models with interacting spinless…

Statistical Mechanics · Physics 2024-01-08 Sreemayee Aditya , Diptiman Sen

We study the dynamical decoherence of a qubit weakly coupled to a two-body random interaction model (TBRIM) describing a quantum dot of interacting fermions or the Sachdev-Ye-Kitaev (SYK) black hole model. We determine the rates of qubit…

Strongly Correlated Electrons · Physics 2018-10-23 Klaus M. Frahm , Dima L. Shepelyansky

We study depletion dynamics of an open system of weakly interacting fermions with two-body random interactions. In this model fermions are escaping from the high-energy one-particle orbitals, that mimics the evaporation process used in…

Quantum Gases · Physics 2020-01-08 Andrey R. Kolovsky , Dima L. Shepelyansky

Significant attention has been devoted to the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Here, we address this issue from an open quantum system perspective, examining an isolated setup…

Quantum Physics · Physics 2025-01-15 Krzysztof Ptaszynski , Massimiliano Esposito

We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show that moderate interactions induce dynamical thermalization in…

Quantum Gases · Physics 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

In this review the problem of statistical description of isolated quantum systems of interacting particles is discussed. Main attention is paid to a recently developed approach which is based on chaotic properties of compound states in the…

Statistical Mechanics · Physics 2007-05-23 F. M. Izrailev

This review is devoted to the problem of thermalization in a small isolated conglomerate of interacting constituents. A variety of physically important systems of intensive current interest belong to this category: complex atoms, molecules…

Statistical Mechanics · Physics 2016-04-18 F. Borgonovi , F. M. Izrailev , L. F. Santos , V. G. Zelevinsky

We model an isolated quantum computer as a two-dimensional lattice of qubits (spin halves) with fluctuations in individual qubit energies and residual short-range inter-qubit couplings. In the limit when fluctuations and couplings are small…

Quantum Physics · Physics 2009-11-06 Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky

Isolated quantum many-body systems which thermalize under their own dynamics are expected to act as their own thermal baths, thereby bringing their local subsystems to thermal equilibrium. Here we show that the infinite-dimensional limit of…

Strongly Correlated Electrons · Physics 2025-03-25 Antonio Picano , Giulio Biroli , Marco Schirò

The {\it exchange} interaction arising from the particle indistinguishability is of central importance to physics of many-particle quantum systems. Here we study analytically the dynamical generation of quantum entanglement induced by this…

Quantum Physics · Physics 2021-11-24 Chushun Tian , Kun Yang

In an isolated quantum many-body system undergoing unitary evolution, the entropy of a subsystem (smaller than half the system size) thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at…

Statistical Mechanics · Physics 2025-06-02 Yichen Huang , Aram W. Harrow

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 study the thermalization properties of one-dimensional open quantum systems coupled to baths at their boundary. The baths are driven to their thermal states via Lindblad operators, while the system undergoes Hamiltonian dynamics. We…

Strongly Correlated Electrons · Physics 2023-08-02 Cristian Zanoci , Yongchan Yoo , Brian Swingle

It is known that the long-range quantum entanglement exhibited in free fermion systems is sufficient to "thermalize" a small subsystem in that the subsystem reduced density matrix computed from a typical excited eigenstate of the combined…

Statistical Mechanics · Physics 2025-02-18 G. C. Levine , B. A. Friedman

We consider the discrete time dynamics of an ensemble of fermionic quantum walkers moving on a finite discrete sample, interacting with a reservoir of infinitely many quantum particles on the one dimensional lattice. The reservoir is given…

Mathematical Physics · Physics 2017-03-08 Eman Hamza , Alain Joye

We investigate the apparent thermality of Hawking radiation in the semi-classical limit of quantum black holes using the mean-field limit of a chiral spin-chain simulator, which models fermions propagating on a black hole space-time in the…

High Energy Physics - Theory · Physics 2026-03-16 Iason A. Sofos , Andrew Hallam , Jiannis K. Pachos

Quantum dynamics on quasiperiodic geometries has recently gathered significant attention in ultra-cold atom experiments where non trivial localised phases have been observed. One such quasiperiodic model is the so called Fibonacci model. In…

Disordered Systems and Neural Networks · Physics 2021-05-26 Cecilia Chiaracane , Francesca Pietracaprina , Archak Purkayastha , John Goold

Understanding quantum thermalization through entanglement build-up in isolated quantum systems addresses fundamental questions on how unitary dynamics connects to statistical physics. Here, we study the spin dynamics and approach towards…

The thermalization of an isolated quantum system is described by quantum mechanics and thermodynamics, while these two subjects are still not fully consistent with each other. This leaves a less-explored region where both quantum and…

Quantum Gases · Physics 2024-11-22 Yuqing Wang , Libo Liang , Qinpei Zheng , Qi Huang , Wenlan Chen , Jing Zhang , Xuzong Chen , Jiazhong Hu
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