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Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

We study the dynamics of covariances in a chain of harmonic oscillators with conservative noise in contact with two stochastic Langevin heat baths. The noise amounts to random collisions between nearest-neighbour oscillators that exchange…

Statistical Mechanics · Physics 2010-11-10 S. Lepri , C. Mejia-Monasterio , A. Politi

We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general…

Statistical Mechanics · Physics 2021-08-09 Heinz-Jürgen Schmidt , Jochen Gemmer

We study the steady state of two coupled two-level atoms interacting with a non-equilibrium environment that consists of two heat baths at different temperatures. Specifically, we analyze four cases with respect to the configuration about…

Quantum Physics · Physics 2017-11-29 Yong Huangfu , Jun Jing

We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective…

Statistical Mechanics · Physics 2023-03-06 M. Coppola , D. Karevski

We study the internal dynamics of an elementary quantum system placed close to a body held at a temperature different from that of the surrounding radiation. We derive general expressions for lifetime and density matrix valid for bodies of…

Quantum Physics · Physics 2015-03-20 Bruno Bellomo , Riccardo Messina , Mauro Antezza

We study a class of nonequilibrium lattice models which describe local redistributions of a globally conserved energy. A particular subclass can be solved analytically, allowing to define a temperature T_{th} along the same lines as in the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

We study heat transport in a chain of harmonic oscillators with random elastic collisions between nearest-neighbours. The equations of motion of the covariance matrix are numerically solved for free and fixed boundary conditions. In the…

Statistical Mechanics · Physics 2010-11-10 L. Delfini , S. Lepri , R. Livi , C. Mejia-Monasterio , A. Politi

Standard heat machines (engine, heat pump, refrigerator) are composed of a system ("working fluid") coupled to at least two equilibrium baths at different temperatures and periodically driven by an external device (piston or rotor) called…

Quantum Physics · Physics 2015-11-26 Rober Alicki , David Gelbwaser-Klimovsky

We study a generic open quantum system where the coupling between the system and its environment is of an energy-preserving quantum nondemolition (QND) type. We obtain the general master equation for the evolution of such a system under the…

Quantum Physics · Physics 2007-10-02 Subhashish Banerjee , R. Ghosh

We study the unitary time evolution of a simple quantum Hamiltonian describing a heat engine coupled to two heat baths. The engine is modeled as a three-level system. Each heat bath consists of a single harmonic oscillator. The engine is…

Mathematical Physics · Physics 2013-06-27 Winny O'Kelly de Galway , Jan Naudts

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

The integrable system is constrained strictly by the conservation law during the time evolution, and the nearly integrable system or nonintegrable system is also constrained by the conserved parameters (like the constants of motion) with…

Statistical Mechanics · Physics 2017-11-10 Chen-Huan Wu

We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamiltonian dynamics in the bulk is perturbed by random exchanges…

Probability · Mathematics 2019-09-12 Tomasz Komorowski , Stefano Olla , Marielle Simon

The dynamical behavior of quantum coherence of a displaced squeezed thermal state in contact with an external bath is discussed in the present work. We use a Fano-Anderson type of Hamiltonian to model the environment and solve the quantum…

Quantum Physics · Physics 2023-02-17 Md. Manirul Ali , R. Chandrashekar , S. S. Naina Mohammed

The context of the present paper is stochastic thermodynamics - an approach to nonequilibrium thermodynamics rooted within the broader framework of stochastic control. In contrast to the classical paradigm of Carnot engines, we herein…

Systems and Control · Electrical Eng. & Systems 2021-01-08 Rui Fu , Olga Movilla Miangolarra , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We consider a quantum system with a time-independent Hamiltonian parametrized by a set of unknown parameters $\alpha$. The system is prepared in a general quantum state by an evolution operator that depends on a set of unknown parameters…

Quantum Physics · Physics 2022-08-10 Wucheng Zhang , Ilia Tutunnikov , Ilya Sh. Averbukh , Roman V. Krems

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

Statistical Mechanics · Physics 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

In this article, we derive the stochastic master equations corresponding to the statistical model of a heat bath. These stochastic differential equations are obtained as continuous time limits of discrete models of quantum repeated…

Quantum Physics · Physics 2010-06-17 Ion Nechita , Clément Pellegrini

We consider the statistical mechanics of a small gaseous system subject to a constant external field. As is well known, in the canonical ensemble the system i) obeys a barometric formula for the density profile and ii) the kinetic…

Statistical Mechanics · Physics 2015-06-23 Alberto Salazar , Hernán Larralde , Francois Leyvraz
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