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We provide evidence that a clean kicked Bose-Hubbard model exhibits a many-body dynamically localized phase. This phase shows ergodicity breaking up to the largest sizes we were able to consider. We argue that this property persists in the…

Quantum Gases · Physics 2020-02-19 Michele Fava , Rosario Fazio , Angelo Russomanno

We analyze the time-dependent free energy functionals of the semiclassical one-dimensional Bose-Hubbard chain. We first review the weakly chaotic dynamics and the consequent early-time anomalous diffusion in the system. The anomalous…

Quantum Physics · Physics 2024-03-26 Dragan Marković , Mihailo Čubrović

We study the thermal quantum correlations and entanglement in spin-1 Bose-Hubbard model with two and three particles. While we use negativity to calculate entanglement, more general non-classical correlations are quantified using a new…

Quantum Physics · Physics 2013-04-01 B. Çakmak , G. Karpat , Z. Gedik

We demonstrate the onset of strong on-site localization in a one-dimensional many-particle system. The localization is obtained by constructing, in an explicit form, a bounded sequence of on-site energies that eliminates resonant hopping…

Quantum Physics · Physics 2009-11-10 L. F. Santos , M. I. Dykman , M. Shapiro , F. M. Izrailev

Recent research on the fundamentals of statistical mechanics has led to an interesting discovery [1-3]: With locally nonchaotic barriers, as Boltzmann's H-theorem is inapplicable, there exist nontrivial non-thermodynamic systems that can…

Statistical Mechanics · Physics 2025-05-27 Yu Qiao

It is known that a semi-classical analysis is not always adequate for atomtronics devices, but that a fully quantum analysis is often necessary to make reliable predictions. While small numbers of atoms at a small number of sites are…

Quantum Physics · Physics 2015-06-11 M. K. Olsen , A. S. Bradley

We predict a generic manifestation of quantum interference in many-body bosonic systems resulting in a coherent enhancement of the average return probability in Fock space. This enhancement is both robust with respect to variations of…

Understanding under which conditions physical systems thermalize is a long-standing question in many-body physics. While generic quantum systems thermalize, there are known instances where thermalization is hindered, for example in…

Quantum Physics · Physics 2021-01-08 Carlo Sparaciari , Marcel Goihl , Paul Boes , Jens Eisert , Nelly Huei Ying Ng

We compute the partition function and specific heat for a quantum mechanical particle under the influence of a quartic double-well potential non-perturbatively, using the semiclassical method. Near the region of bounded motion in the…

High Energy Physics - Phenomenology · Physics 2014-07-23 D. Kroff , A. Bessa , C. A. A. de Carvalho , E. S. Fraga , S. E. Jorás

In a recent paper Roux [Phys. Rev. A 79, 021608(R) (2009), arXiv:0810.3720] argued that thermalization in a Bose-Hubbard system, after a quench, follows from the approximate Boltzmann distribution of the overlap between the initial state…

Statistical Mechanics · Physics 2010-09-03 Marcos Rigol

One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via…

Quantum Physics · Physics 2025-06-24 Marvin Lenk , Sayak Biswas , Anna Posazhennikova , Johann Kroha

Quantum lattice systems are rigorously studied at low temperatures. When the Hamiltonian of the system consists of a potential (diagonal) term and a - small - off-diagonal matrix containing typically quantum effects, such as a hopping…

Statistical Mechanics · Physics 2009-10-31 R. Kotecky , D. Ueltschi

The emergent semiclassical time approach to resolving the problem of time in quantum gravity involves heavy slow degrees of freedom providing via an approximately Hamilton-Jacobi equation an approximate timestandard with respect to which…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Edward Anderson

Random quantum circuits are paradigmatic models of minimally structured and analytically tractable chaotic dynamics. We study a family of Floquet unitary circuits with Haar random $U(1)$ charge conserving dynamics; the minimal such model…

Quantum Physics · Physics 2024-03-22 Cheryne Jonay , Joaquin F. Rodriguez-Nieva , Vedika Khemani

The ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. Quantum many-body scarring has recently opened a window…

We present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy…

Quantum Gases · Physics 2017-08-10 Benjamin Geiger , Juan-Diego Urbina , Quirin Hummel , Klaus Richter

Quantum systems that violate the eigenstate thermalisation hypothesis thereby falling outside the paradigm of conventional statistical mechanics are of both intellectual and practical interest. We show that such a breaking of ergodicity may…

Disordered Systems and Neural Networks · Physics 2020-05-20 Sthitadhi Roy , Achilleas Lazarides

A unified semiclassical framework is presented to describe the evaporative cooling of trapped atomic gases, accounting for both classical and quantum statistics. By combining global thermodynamics with phase-space distributions, general…

Thermalization in quantum many-body systems typically unfolds over timescales governed by intrinsic relaxation mechanisms. Yet, its spatial aspect is less understood. We investigate this phenomenon in the nonequilibrium steady state (NESS)…

Quantum Physics · Physics 2025-10-22 Filippo Ferrari , Fabrizio Minganti , Camille Aron , Vincenzo Savona

We study the possible breakdown of quantum thermalization in a model of itinerant electrons on a one-dimensional chain without disorder, with both spin and charge degrees of freedom. The eigenstates of this model exhibit peculiar properties…

Statistical Mechanics · Physics 2017-02-20 James R. Garrison , Ryan V. Mishmash , Matthew P. A. Fisher
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