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Integrable quantum many-body systems are considered to equilibrate to generalized Gibbs ensembles (GGEs) characterized by the expectation values of integrals of motion. We study the dynamics of exactly solvable quadratic bosonic systems in…

Statistical Mechanics · Physics 2019-08-15 Takaaki Monnai , Shohei Morodome , Kazuya Yuasa

In this paper, the generalized second law (GSL) of thermodynamics and entropy is revisited in the context of cosmological models in Gauss-Bonnet gravity with the boundary of the universe is assumed to be enclosed by the dynamical apparent…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Hossein Farajollahi , Amin Salehi

Systems with long-range interactions display a short-time relaxation towards Quasi Stationary States (QSS) whose lifetime increases with the system size. In the paradigmatic Hamiltonian Mean-field Model (HMF) out-of-equilibrium phase…

Statistical Mechanics · Physics 2016-02-15 Gabriele Martelloni , Gianluca Martelloni , Pierre de Buyl , Duccio Fanelli

A quantum many-body system which is prepared in the ground state of an integrable Hamiltonian does not directly thermalize after a sudden small parameter quench away from integrability. Rather, it will be trapped in a prethermalized state…

Strongly Correlated Electrons · Physics 2011-08-15 Marcus Kollar , F. Alexander Wolf , Martin Eckstein

Formulating a statistical mechanics for granular matter remains a significant challenge, in part, due to the difficulty associated with a complete characterization of the systems under study. We present a fully characterized model of a…

Soft Condensed Matter · Physics 2015-05-27 Richard K. Bowles , S. S. Ashwin

Grain boundary (GB) properties greatly influence the mechanical, electrical, and thermal response of polycrystalline materials. Most computational studies of GB properties at finite temperatures use molecular dynamics (MD), which is…

Materials Science · Physics 2025-06-06 Miguel Spínola , Shashank Saxena , Prateek Gupta , Brandon Runnels , Dennis M. Kochmann

Molecular or condensed matter systems are often well approximated by hybrid quantum-classical models: the electrons retain their quantum character, whereas the ions are considered to be classical particles. We discuss various alternative…

Chemical Physics · Physics 2021-05-07 J. L. Alonso , C. Bouthelier , A. Castro , J. Clemente-Gallardo , J. A. Jover-Galtier

A statistical treatment of finite unbound systems in the presence of collective motions is presented and applied to a classical Lennard-Jones Hamiltonian, numerically simulated through molecular dynamics. In the ideal gas limit, the flow…

Statistical Mechanics · Physics 2008-02-01 M. J. Ison , F. Gulminelli , C. Dorso

We consider the 1d interacting Bose gas in the presence of time-dependent and spatially inhomogeneous contact interactions. Within its attractive phase, the gas allows for bound states of an arbitrary number of particles, which are…

Quantum Gases · Physics 2021-04-26 Rebekka Koch , Alvise Bastianello , Jean-Sébastien Caux

We propose and use a novel, hybrid Monte Carlo algorithm that combines configurational bias particle swaps with parallel tempering. We use this new method to simulate a standard model of a glass forming binary mixture above and below the…

Soft Condensed Matter · Physics 2009-11-11 Elijah Flenner , Grzegorz Szamel

We consider the homogeneous mean-field Bose gas at temperatures proportional to the critical temperature of its Bose-Einstein condensation phase transition. We prove a trace norm approximation for the grand canonical Gibbs state in terms of…

Mathematical Physics · Physics 2025-08-25 Andreas Deuchert , Phan Thành Nam , Marcin Napiórkowski

We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs…

Mathematical Physics · Physics 2020-05-20 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

One of the fundamental principles of statistical physics is that only partial information about a system's state is required for its macroscopic description. This is not only true for thermal ensembles, but also for the unconventional…

Statistical Mechanics · Physics 2016-09-28 Spyros Sotiriadis

We provide an extension of a recent approach to study non-equilibrium thermodynamics [Phys. Rev. E 81, 051130 (2010), to be denoted by I in this work] to inhomogeneous systems by considering the latter to be composed of quasi-independent…

Statistical Mechanics · Physics 2013-05-30 P. D. Gujrati

We derive fluctuation relations for a many-body quantum system prepared in a Generalised Gibbs Ensemble subject to a general nonequilibrium protocol. By considering isolated integrable systems, we find generalisations to the Tasaki-Crooks…

Statistical Mechanics · Physics 2015-06-19 James M. Hickey , Sam Genway

Does bound entanglement naturally appear in quantum many-body systems? We address this question by showing the existence of bound-entangled thermal states for harmonic oscillator systems consisting of an arbitrary number of particles. By…

Quantum Physics · Physics 2009-11-13 A. Ferraro , D. Cavalcanti , A. Garcia-Saez , A. Acin

In the framework of a 2D Vlasov model, we study the time evolution of the "coarse-grained" Generalized Entropy (GE) in a nuclear system which undergoes a multifragmentation (MF) phase transition. We investigate the GE both for the gas and…

Nuclear Theory · Physics 2009-10-31 A. Atalmi , M. Baldo , G. F. Burgio , A. Rapisarda

In generalizing the special-relativistic one-component version of Eckart's continuum thermodynamics to general-relativistic space-times with Riemannian or post-Riemannian geometry, we consider the entropy production and other themodynamical…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Wolfgang Muschik , Horst-Heino von Borzeszkowski

Thermalization (generalized thermalization) in nonintegrable (integrable) quantum systems requires two ingredients: equilibration and agreement with the predictions of the Gibbs (generalized Gibbs) ensemble. We prove that observables that…

Statistical Mechanics · Physics 2023-08-10 Patrycja Łydżba , Marcin Mierzejewski , Marcos Rigol , Lev Vidmar

In this work we present an analysis of a quench for the repulsive Lieb-Liniger gas confined to a large box with hard wall boundary conditions. We study the time average of local correlation functions and show that both the quench action…

Quantum Gases · Physics 2015-10-07 Garry Goldstein , Natan Andrei