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We study the long-time behaviour and the spatial correlations of a simple ferromagnetic spin system whose kinetics is governed by a thermal bath with a time-dependent temperature which is characterized by a given external relaxation time…

Statistical Mechanics · Physics 2008-11-26 Alan Picone , Malte Henkel , Jean Richert

We study the stationary nonequilibrium regime which settles in when two single-spin paramagnets each in contact with its own thermal bath are coupled. The response vs. correlation plot exhibits some features of aging systems, in particular…

Statistical Mechanics · Physics 2009-10-31 Raphael Exartier , Luca Peliti

Monte Carlo simulations of Ising models coupled to heat baths at two different temperatures are used to study a fluctuation relation for the heat exchanged between the two thermostats in a time $\tau$. Different kinetics (single--spin--flip…

Statistical Mechanics · Physics 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella

We study the non-adiabatic dynamics of a two-state subsystem in a bath of independent spins using the non-interacting blip approximation, and derive an exact analytic expression for the relevant memory kernel. We show that in the…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 Dvira Segal

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

We study aging dynamics in two non-disordered spin models with multi-spin interactions, following a sudden quench to low temperature. The models are relevant to the physics of supercooled liquids. Their low temperature dynamics resemble…

Statistical Mechanics · Physics 2009-11-11 Robert L. Jack , Ludovic Berthier , Juan P. Garrahan

We investigate a simplified model of two fully connected magnetic systems maintained at different temperatures by virtue of being connected to two independent thermal baths while simultaneously being inter-connected with each other. Using…

Statistical Mechanics · Physics 2015-06-15 Roberto C. Alamino , Amit Chattopadhyay , David Saad

We develop further the study of a system in contact with a multibath having different temperatures at widely separated timescales. We consider those systems that do not thermalize in finite times when in contact with an ordinary bath but…

Disordered Systems and Neural Networks · Physics 2021-05-26 Pierluigi Contucci , Federico Corberi , Jorge Kurchan , Emanuele Mingione

The dynamics of a simple spin chain (2 spins) coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system is found. The dynamics and temperature dependence of spin-spin…

Quantum Physics · Physics 2009-05-05 Ilya Sinaysky , Francesco Petruccione , Daniel Burgarth

Fluctuation relations for the entropy production in non equilibrium stationary states of Ising models are investigated by Monte Carlo simulations. Systems in contact with heat baths at two different temperatures or subject to external…

Statistical Mechanics · Physics 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella , A. Pelizzola

We consider thermalization of a microscopic quantum system by interaction with a thermal bath. Our interest is the minimal size the bath can have while still being able to thermalize the system. Within a specific thermalization scheme we…

Statistical Mechanics · Physics 2018-02-22 Stephan Kleinbölting , Rochus Klesse

The quantum dynamics of a two-level system coupled to an Ohmic spin- bath is studied by means of the perturbation approach based on a unitary transformation. A scattering function $\xi_k$ is introduced in the transformation to take into…

Quantum Physics · Physics 2015-05-27 Zhiguo Lü , H. Zheng

We focus on the non-equilibrium two-bath spin-boson model, a toy model for examining quantum thermal transport in many-body open systems. Describing the dynamics within the NIBA equations, applicable, e.g., in the strong system-bath…

Statistical Mechanics · Physics 2015-05-30 Lena Nicolin , Dvira Segal

Collision models provide a simple and versatile setting to capture the dynamics of open quantum systems. The standard approach to thermalisition in this setting involves an environment of independent and identically-prepared thermal qubits,…

Quantum Physics · Physics 2026-02-10 Ronan McElvogue , Andrew K. Mitchell , Gabriel T. Landi , Steve Campbell

A diathermal wall between two heat baths at different temperatures can be mimicked by a layer of independent spin pairs with some internal energy and where each spin $\sigma_a$ is flipped by thermostat $a$ ($a=1,2$). The transition rates…

Statistical Mechanics · Physics 2015-05-06 Françoise Cornu , Michel Bauer

For open quantum systems coupled to a thermal bath at inverse temperature $\beta$, it is well known that under the Born-, Markov-, and secular approximations the system density matrix will approach the thermal Gibbs state with the bath…

Quantum Physics · Physics 2011-03-15 Gernot Schaller

We consider the common spin-1/2 XX-model in one dimension with open boundary conditions and a large but finite number of spins. The system is in thermal equilibrium at times t<0, and is subject to a weak local perturbation (quantum quench)…

Statistical Mechanics · Physics 2025-02-27 Peter Reimann , Christian Eidecker-Dunkel

In most cases, a small system weakly interacting with a thermal bath will finally reach the thermal state with the temperature of the bath. We show that this intuitive picture is not always true by a spin star model where non-Markov effect…

Quantum Physics · Physics 2015-03-20 Zhihai Wang , Yu Guo , D. L. Zhou

We consider a spin $s$ subjected to both a static and an orthogonally applied oscillating, circularly polarized magnetic field while being coupled to a heat bath, and analytically determine the quasi\-stationary distribution of its…

Quantum Physics · Physics 2019-11-06 Heinz-Jürgen Schmidt , Jürgen Schnack , Martin Holthaus

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
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