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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…

量子气体 · 物理学 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

A quantum dynamical model of two interacting spins, with chaotic and regular components, is investigated using a finite two-particles symmetrized basis. Chaotic eigenstates give rise to an equilibrium occupation number distribution in close…

chao-dyn · 物理学 2019-08-17 F. Borgonovi , I. Guarneri , F. M. Izrailev , G. Casati

Using the ergodicity principle for the expectation values of several types of observables, we investigate the thermalization process in isolated fermionic systems. These are described by the two-body random ensemble, which is a paradigmatic…

统计力学 · 物理学 2015-05-27 V. K. B. Kota , A. Relaño , J. Retamosa , Manan Vyas

The onset of thermalization in a closed finite system of randomly interacting bosons, at the level of a single eigenstate, is discussed. The main interest is in the emergence of the Bose-Einstein distribution of single-particle occupation…

量子物理 · 物理学 2017-05-02 Fausto Borgonovi , Francesco Mattiotti , Felix M. Izrailev

We show that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey {\it Berry's conjecture}. Berry's…

凝聚态物理 · 物理学 2009-10-22 Mark Srednicki

We analyze the self-thermalization dynamics of the $M$-site Bose-Hubbard model in terms of the single-particle density matrix that is calculated by using the pseudoclassical approach. It is shown that a weak inter-particle interaction,…

量子物理 · 物理学 2026-02-02 Andrey R. Kolovsky

We consider a chaotic many-body system (i.e., one that satisfies the eigenstate thermalization hypothesis) that is split into two subsystems, with an interaction along their mutual boundary, and study the entanglement properties of an…

统计力学 · 物理学 2019-11-11 Chaitanya Murthy , Mark Srednicki

We study numerically how the energy spreads over a finite disordered nonlinear one-dimensional lattice, where all linear modes are exponentially localized by disorder. We establish emergence of dynamical thermalization, characterized as an…

无序系统与神经网络 · 物理学 2009-12-02 Mario Mulansky , Karsten Ahnert , Arkady Pikovsky , Dima L. Shepelyansky

This work supports the existence of extended nonergodic states in the intermediate region between the chaotic (thermal) and the many-body localized phases. These states are identified through an extensive analysis of static and dynamical…

无序系统与神经网络 · 物理学 2017-02-09 E. J. Torres-Herrera , Lea F. Santos

We study the dynamics of non interacting thermal atoms embedded in structured optical lattices with non trivial geometry. The lattice would be generated by two counter propagating modes with parabolic cylindrical symmetry and we concentrate…

量子物理 · 物理学 2011-01-24 R. Pérez-Pascual , B. M. Rodríguez-Lara , R. Jáuregui

The thermalization phenomenon and many-body quantum statistical properties are studied on the example of several observables in isolated spin-chain systems, both integrable and generic non-integrable ones. While diagonal matrix elements for…

强关联电子 · 物理学 2013-01-17 Robin Steinigeweg , Jacek Herbrych , Peter Prelovšek

The chaotic phase of the tilted Bose-Hubbard model is identified as a function of energy, tilt strength and particle interaction, from the eigenstate structure and the statistical features of the energy spectrum. Our analysis reveals that…

量子物理 · 物理学 2026-05-08 Pilar Martín Clavero , Alberto Rodríguez

We show that a quantum dynamical localization effect can be observed in a generic thermalization process of two weakly-coupled chaotic subsystems. Specifically, our model consists of the minimal experimentally relevant subsystems that…

量子气体 · 物理学 2020-04-06 Christine Khripkov , Amichay Vardi , Doron Cohen

We study the out-of-equilibrium dynamics of bosonic atoms in a 1D optical lattice, after the ground-state is excited by a single spontaneous emission event, i.e. after an absorption and re-emission of a lattice photon. This is an important…

量子气体 · 物理学 2015-02-27 Johannes Schachenmayer , Lode Pollet , Matthias Troyer , Andrew J. Daley

We detail the experimental observation of the non-equilibrium many-body phenomenon prethermalization. We study the dynamics of a rapidly and coherently split one-dimensional Bose gas. An analysis based on the use of full quantum mechanical…

Ultracold atomic gases have revolutionized the study of non-equilibrium dynamics in quantum many-body systems. Many counterintuitive non-equilibrium effects have been observed, such as suppressed thermalization in a one-dimensional (1D)…

We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays \textit{strong} eigenstate thermalization hypothesis (ETH) in the quantum regime. The analysis…

统计力学 · 物理学 2026-05-26 Avadhut V. Purohit , Harshit Sharma , Udaysinh T. Bhosale

We numerically examine slow and hierarchical relaxation dynamics of interacting bosons described by a tilted two-band Bose-Hubbard model. The system is found to exhibit signatures of quantum chaos within the spectrum and the validity of the…

量子气体 · 物理学 2018-04-19 Jayson G. Cosme

We demonstrate the existence of exact atypical many-body eigenstates in a class of disordered, interacting one-dimensional quantum systems that includes the Fermi-Hubbard model as a special case. These atypical eigenstates, which…

强关联电子 · 物理学 2019-07-18 Thomas Iadecola , Marko Znidaric

We present a detailed analysis of the connection between chaos and the onset of thermalization in the spin-boson Dicke model. This system has a well-defined classical limit with two degrees of freedom, and it presents both regular and…

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