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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 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 a class of systems whose dynamics are described by generalized Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate, the position…

Mathematical Physics · Physics 2020-12-16 Soon Hoe Lim , Jan Wehr

We study the entanglement and work statistics in a driven two-qubit system. The regulation of periodic driving has much more versatility and universality in contrast to reservoir engineering in static systems. We found the quasi-steady…

Quantum Physics · Physics 2023-01-04 He Wang , Jin Wang

We study a distribution of thermal states given by random Hamiltonians with a local structure. We show that the ensemble of thermal states monotonically approaches the unitarily invariant ensemble with decreasing temperature if all…

Quantum Physics · Physics 2014-12-03 Yoshifumi Nakata , Tobias J. Osborne

We analyze the non-equilibrium steady states (NESS) of a one dimensional harmonic chain of $N$ atoms with alternating masses connected to heat reservoirs at unequal temperatures. We find that the temperature profile defined through the…

Mathematical Physics · Physics 2015-06-03 Venkateshan Kannan , Abhishek Dhar , J. L. Lebowitz

Starting from a master equation in a quantum Hamilton form we study analytically a nonequilibrium system which is coupled locally to two heat bathes at different temperatures. Based on a lattice gas description an evolution equation for the…

Statistical Mechanics · Physics 2007-05-23 Steffen Trimper , Simone Artz

In this work we investigate the late-time stationary states of open quantum systems coupled to a thermal reservoir in the strong coupling regime. In general such systems do not necessarily relax to a Boltzmann distribution if the coupling…

Statistical Mechanics · Physics 2013-01-15 Y. Subasi , C. H. Fleming , J. M. Taylor , B. L. Hu

In this paper a one-dimensional model of two infinite gases separated by a movable heavy piston is considered. The non-linear Langevin equation for the motion of the piston is derived from first principles for the case when the…

Statistical Mechanics · Physics 2016-08-31 Alexander Plyukhin , Jeremy Schofield

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

We show how, upon heating the spin degrees of freedom of the Hubbard model to infinite temperature, the symmetries of the system allow the creation of steady-states with long-range correlations between $\eta$-pairs. With induce this heating…

Quantum Physics · Physics 2019-07-22 Joseph Tindall , Berislav Buca , Jonathan R. Coulthard , Dieter Jaksch

We consider a class of mechanical particle systems with deterministic particle-disk interactions coupled to Gibbs heat reservoirs at possibly different temperatures. We show that there exists a unique (non-equilibrium) steady state. This…

Mathematical Physics · Physics 2015-06-15 Tatiana Yarmola

We provide a consistent thermodynamic analysis of stochastic thermal engines driven by finite-size reservoirs, which are in turn coupled to infinite-size reservoirs. We consider a cyclic operation mode, where the working medium couples…

Statistical Mechanics · Physics 2026-01-27 Iago N. Mamede , Saulo V. Moreira , Mark T. Mitchison , Carlos E. Fiore

We introduce a non-equilibrium version of the Caldeira-Leggett model in which a quantum particle is strongly coupled to a set of engineered reservoirs. The reservoirs are composed by collections of squeezed and displaced thermal modes, in…

Quantum Physics · Physics 2026-05-19 Vasco Cavina , Massimiliano Esposito

We provide a stochastic fractional diffusion equation description of energy transport through a finite one-dimensional chain of harmonic oscillators with stochastic momentum exchange and connected to Langevian type heat baths at the…

Statistical Mechanics · Physics 2019-05-22 Aritra Kundu , Cédric Bernardin , Keji Saito , Anupam Kundu , Abhishek Dhar

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis

This review provides a brief and quick introduction to the quantum Langevin equation for an oscillator, while focusing on the steady-state thermodynamic aspects. A derivation of the quantum Langevin equation is carefully outlined based on…

Statistical Mechanics · Physics 2024-07-19 Aritra Ghosh , Malay Bandyopadhyay , Sushanta Dattagupta , Shamik Gupta

Relativistic effects in the thermodynamical properties of interacting particle systems are investigated within the framework of the relativistic direct interaction theory in various forms of dynamics. In the front form of relativistic…

High Energy Physics - Theory · Physics 2007-05-23 V. Tretyak

We derive the master equation of a system of two coupled qubits by taking into account their interaction with two independent bosonic baths. Important features of the dynamics are brought to light, such as the structure of the stationary…

Quantum Physics · Physics 2009-11-13 Matteo Scala , Rosanna Migliore , Antonino Messina

The concept of temperature in nonequilibrium thermodynamics is an outstanding theoretical issue. We propose an energy repartition principle that leads to a spectral (mode-dependent) temperature in steady-state nonequilibrium systems. The…

Mesoscale and Nanoscale Physics · Physics 2017-01-19 Peng Yan , Gerrit E. W. Bauer , Huaiwu Zhang
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