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Complex environments, such as molecular matrices and biological material, play a fundamental role in many important dynamic processes in condensed phases. Because it is extremely difficult to conduct full quantum dynamics simulations on…

Quantum Physics · Physics 2022-01-03 Kiyoto Nakamura , Yoshitaka Tanimura

We address the problem of heat transport in a chain of coupled quantum harmonic oscillators, exposed to the influences of local environments of various nature, stressing the effects that the specific nature of the environment has on the…

Quantum Physics · Physics 2015-04-16 F. Nicacio , A. Ferraro , A. Imparato , M. Paternostro , F. L. Semião

We propose to use spin hydrodynamics, a two-fluid model of spin propagation, as a generalization of the diffusion equation. We show that in the dense limit spin hydrodynamics reduces to Fick's law and the diffusion equation. In the opposite…

Quantum Gases · Physics 2016-11-02 Thomas Schaefer

There are problems with defining the thermodynamic limit of systems with long-range interactions; as a result, the thermodynamic behavior of these types of systems is anomalous. In the present work, we review some concepts from both…

Statistical Mechanics · Physics 2009-11-13 L. A. del Pino , P. Troncoso , S. Curilef

We study the relaxation of a quantum system towards the thermal equilibrium using tools developed within the context of quantum information theory. We consider a model in which the system is a qubit, and reaches equilibrium after several…

Quantum Physics · Physics 2009-11-07 Valerio Scarani , Mario Ziman , Peter Stelmachovic , Nicolas Gisin , Vladimir Buzek

The emergence of statistical mechanics from quantum dynamics is a central problem in quantum many-body physics. Deriving observables aligned with the prediction of the canonical ensemble for a quantum system relies on the presence of a bath…

Statistical Mechanics · Physics 2026-01-05 Nikolay V. Gnezdilov , Andrei I. Pavlov

We set up a rigorous thermodynamic description of reaction-diffusion systems driven out of equilibrium by time-dependent space-distributed chemostats. Building on the assumption of local equilibrium, nonequilibrium thermodynamic potentials…

Statistical Mechanics · Physics 2018-09-12 Gianmaria Falasco , Riccardo Rao , Massimiliano Esposito

We build a rigorous nonequilibrium thermodynamic description for open chemical reaction networks of elementary reactions. Their dynamics is described by deterministic rate equations satisfying mass action law. Our most general framework…

Statistical Mechanics · Physics 2017-01-13 Riccardo Rao , Massimiliano Esposito

We investigate thermalization dynamics of a driven dipolar many-body quantum system through the stability of discrete time crystalline order. Using periodic driving of electronic spin impurities in diamond, we realize different types of…

We study the spatio-temporal spreading of correlations in an ensemble of spins due to dissipation characterized by short- and long-range spatial profiles. We consider systems initially in an uncorrelated state, and find that correlations…

Quantum Gases · Physics 2022-05-25 Kushal Seetharam , Alessio Lerose , Rosario Fazio , Jamir Marino

We consider the generic model of a finite-size quantum electron system connected to two (temperature and particle) reservoirs. The quantum open system is driven out of equilibrium by the presence of both a temperature and a chemical…

Statistical Mechanics · Physics 2017-04-04 H. Ness

We investigate the non-equilibrium thermal quantum discord and entanglement of a three-spin chain whose two end spins are respectively coupled to two thermal reservoirs at different temperatures. In the three-spin chain, besides the XX-type…

Quantum Physics · Physics 2015-05-28 Xiu-xing Zhang , Fu-li Li

Diffusion of small particles is omnipresent in a plentiful number of processes occurring in Nature. As such, it is widely studied and exerted in almost all branches of sciences. It constitutes such a broad and often rather complex subject…

Statistical Mechanics · Physics 2023-01-11 Jakub Spiechowicz , Ivan G. Marchenko , Peter Hänggi , Jerzy Łuczka

Motivated by the hyperfine interaction of electron spins with surrounding nuclei, we investigate systems of central spins coupled to a bath of noninteracting spins in the framework of random matrix theory. With increasing number of central…

Mesoscale and Nanoscale Physics · Physics 2010-02-02 John Schliemann

We study low--temperature non Gaussian thermal fluctuations of a system of classical particles around a (hypothetical) crystalline ground state. These thermal fluctuations are described by the behaviour of a system of long range interacting…

Condensed Matter · Physics 2007-05-23 Sergio Albeverio , Roman Gielerak , Helge Holden , Torbjørn Kolsrud , Mohammed Mebkhout

Thermalization play a central role in out-of-equilibrium physics of ultracold atoms or electronic transport phenomena. On the other hand, entanglement concepts have proven to be extremely useful to investigate quantum phases of matter.…

Strongly Correlated Electrons · Physics 2015-03-17 Didier Poilblanc

A large number of multifaceted quantum transport processes in molecular systems and physical nanosystems can be treated in terms of quantum relaxation processes which couple to one or several fluctuating environments. A thermal equilibrium…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk , Peter Hanggi

We study the nonequilibrium steady-state of a fully-coupled network of $N$ quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number…

Statistical Mechanics · Physics 2022-09-27 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

We study some statistical properties for the behavior of the average squared velocity -- hence the temperature -- for an ensemble of classical particles moving in a billiard whose boundary is time dependent. We assume the collisions of the…

We describe a finite inhomogeneous three dimensional system of classical particles which interact through short and (or) long range interactions by means of a simple analytic spin model. The thermodynamic properties of the system are worked…

Nuclear Theory · Physics 2009-10-31 J. Richert , P. Wagner , M. Henkel , J. M. Carmona
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