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A Hamiltonian dynamics is defined for the XY model by adding a kinetic energy term. Thermodynamical properties (total energy, magnetization, vorticity) derived from microcanonical simulations of this model are found to be in agreement with…

Statistical Mechanics · Physics 2014-10-13 Xavier Leoncini , Alberto D. Verga , Stefano Ruffo

Quantum thermodynamics addresses the dynamics of heat flow in quantum devices driven out of equilibrium. Although mesoscopic circuits at low temperatures provide a flexible platform to explore this dynamics, experimental studies are wanting…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 F. Zanichelli , A. Veillon , C. Piquard , A. Aassime , Y. Sato , A. Cavanna , Y. Jin , J. Folk , U. Gennser , A. Anthore , F. Pierre

Thermodynamics has recently been extended to small scales with resource theories that model heat exchanges. Real physical systems exchange diverse quantities: heat, particles, angular momentum, etc. We generalize thermodynamic resource…

Quantum Physics · Physics 2016-03-02 Nicole Yunger Halpern , Joseph M. Renes

We discuss the dynamics of a spin coupled to a damped harmonic oscillator. This system can be mapped to a spin-boson model with a structured bath, i.e. the spectral function of the bath has a resonance peak. We diagonalize the model by…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Silvia Kleff , Stefan Kehrein , Jan von Delft

In this work, we study the stochastic dynamics of micro-magnetics interacting with a spin-current torque. We extend the previously constructed stochastic Landau-Lifshitz equation to the case with spin-current torque, and verify the…

Statistical Mechanics · Physics 2024-08-06 Mingnan Ding , Jun Wu , Xiangjun Xing

The thermodynamic implications for the out-of-equilibrium dynamics of quantum systems are to date largely unexplored, especially for quantum many-body systems. In this paper we investigate the paradigmatic case of an array of…

We consider unsteady heat transfer in a one-dimensional harmonic crystal surrounded by a viscous environment and subjected to an external heat supply. The basic equations for the crystal particles are stated in the form of a system of…

Statistical Mechanics · Physics 2022-10-31 Serge N. Gavrilov , Anton M. Krivtsov , Denis V. Tsvetkov

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

Statistical Mechanics · Physics 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

We present an exact derivation of a process in which a microscopic measured system interacts with "heat bath" and pointer modes of a measuring device, via a linear coupling involving Hermitian operator $\Lambda$ of the system. In the limit…

Statistical Mechanics · Physics 2016-08-31 Dima Mozyrsky , Vladimir Privman

We consider a situation where an $N$-level system (NLS) is coupled to a heat bath without being necessarily thermalized. For this situation we derive general Jarzinski-type equations and conclude that heat and entropy is flowing from the…

Quantum Physics · Physics 2021-08-25 Heinz-Jürgen Schmidt , Jürgen Schnack , Jochen Gemmer

We provide a stochastic thermodynamic description across scales for $N$ identical units with all-to-all interactions that are driven away from equilibrium by different reservoirs and external forces. We start at the microscopic level with…

Statistical Mechanics · Physics 2020-07-07 Tim Herpich , Tommaso Cossetto , Gianmaria Falasco , Massimiliano Esposito

We study the energy exchange between two bosonic systems that interact via bilinear transformations in the mode operators. The first mode is considered as the thermodynamic system, while the second is regarded as the bath. This work finds…

Quantum Physics · Physics 2020-06-23 Chiara Macchiavello , Alberto Riccardi , Massimiliano F. Sacchi

We study the stochastic thermodynamics of an overdamped harmonic chain, which can be viewed equivalently as a 1D Rouse chain or as an approximate model of single file diffusion. We discuss mainly two levels of description of this system:…

Statistical Mechanics · Physics 2015-06-23 David Lacoste , Michael A. Lomholt

We consider a system consisting of two interacting classical particles, each one subject to an on-site potential and to a Langevin thermal bath. We analytically calculate the heat current that can be established through the system when the…

Statistical Mechanics · Physics 2021-07-14 Lucianno Defaveri , Celia Anteneodo

How quantum coherence influences thermodynamic behavior remains an open question in quantum thermodynamics. Here we investigate this relation within the pure dephasing framework, where a central qubit interacts with a finite Ising-like spin…

Quantum Physics · Physics 2026-03-31 Marino P. Lenzarini , Diogo O. Soares-Pinto

We discuss a qubit weakly coupled to a finite-size heat bath (calorimeter) from the point of view of quantum thermodynamics. The energy deposited to this environment together with the state of the qubit provides a basis to analyze the heat…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 J. P. Pekola , S. Suomela , Y. M. Galperin

Two defect particles that couple to a harmonic chain, acting as common reservoir, can become entangled even when the two defects do not directly interact and the harmonic chain is effectively a thermal reservoir for each individual defect.…

Quantum Physics · Physics 2012-04-17 Endre Kajari , Alexander Wolf , Eric Lutz , Giovanna Morigi

We consider far from equilibrium heat transport in chaotic billiard chains with non-interacting charged particles in the presence of non-uniform transverse magnetic field. If half of the chain is placed in a strong magnetic field, or if the…

Statistical Mechanics · Physics 2008-07-15 Giulio Casati , Carlos Mejia-Monasterio , Tomaz Prosen

The grand canonical ensemble lies at the core of quantum and classical statistical mechanics. A small system thermalizes to this ensemble while exchanging heat and particles with a bath. A quantum system may exchange quantities represented…

Quantum Physics · Physics 2016-07-25 Nicole Yunger Halpern , Philippe Faist , Jonathan Oppenheim , Andreas Winter

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan
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