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A model for the thermodynamics of a quantum heat bath is introduced. Under the assumption that the bath molecules have finitely many degrees of freedom and are weakly interacting, we present a general derivation of the equation of state of…

Quantum Physics · Physics 2016-12-12 Dorje C. Brody , Lane P. Hughston

When do non-equilibrium forms of disordered energy qualify as heat? \textcolor{blue}{We address this question in the context of cyclically operating heat engines in contact with a non-equilibrium energy reservoir that defies the zeroth law…

Statistical Mechanics · Physics 2020-11-25 Viktor Holubec , Stefano Steffenoni , Gianmaria Falasco , Klaus Kroy

Active Brownian engines rectify energy from reservoirs composed of self-propelling non-equilibrium molecules into work. We consider a class of such engines based on an underdamped Brownian particle trapped in a power-law potential. The…

Statistical Mechanics · Physics 2021-01-04 Viktor Holubec , Rahul Marathe

Small systems (of interest in the areas of nanophysics, quantum information, etc.) are particularly vulnerable to environmental effects. Thus, we determine various thermodynamic functions for an oscillator in an arbitrary heat bath at…

Quantum Physics · Physics 2007-05-23 G. W. Ford , R. F. O'Connell

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

Quantum Physics · Physics 2024-10-07 Kacper Prech , Patrick P. Potts

The second law of thermodynamics for adiabatic operations -- constraints on state transitions in closed systems under external control -- is one of the fundamental principles of thermodynamics. On the other hand, it is recently established…

Statistical Mechanics · Physics 2026-02-09 Yuuya Chiba , Yasushi Yoneta , Ryusuke Hamazaki , Akira Shimizu

We consider an open (Brownian) classical harmonic oscillator in contact with a non-Markovian thermal bath and described by the generalized Langevin equation. When the bath's spectrum has a finite upper cutoff frequency, the oscillator may…

Statistical Mechanics · Physics 2022-02-02 Alex V. Plyukhin

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. Their general validity arbitrarily far from equilibrium makes them invaluable in nonequilibrium physics. So far, experimental studies of…

We consider the dynamics of a quantum system immersed in a dilute gas at thermodynamics equilibrium using a quantum Markovian master equation derived by applying the low-density limit technique. It is shown that the Gibbs state at the bath…

Quantum Physics · Physics 2023-08-01 Robert Alicki , Milan Šindelka , David Gelbwaser-Klimovsky

Diverse models of engines energised by quantum-coherent, hence non-thermal, baths allow the engine efficiency to transgress the standard thermodynamic Carnot bound. These transgressions call for an elucidation of the underlying mechanisms.…

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

Quantum Physics · Physics 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

We consider the Non-Equilibrium Steady State induced by two infinite quantum thermal reservoirs at different temperatures and derive an inequality giving the upper bound of the work extracted by cyclic operations. This upper bound tends to…

Statistical Mechanics · Physics 2024-06-19 Kazuki Yamaga

Explicit results for various quantum thermodynamic function (QTF) of a charged magneto-oscillator coupled to a heat bath at arbitrary temperature are demonstrated in this paper. Discernible expressions for different QTF in the two limits of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Malay Bandyopadhyay

We apply the concept of a frequency-dependent effective temperature based on the fluctuation-dissipation ratio to a driven Brownian particle in a nonequilibrium steady state. Using this system as a thermostat for a weakly coupled harmonic…

Statistical Mechanics · Physics 2017-06-07 Robert Wulfert , Michael Oechsle , Thomas Speck , Udo Seifert

System of the quantum Langevin equations for two quantum coupling oscillators within independent heat baths of quantum oscillators are obtained using a model Hamiltonian and corresponding Heisenberg equations of motion. Expressions for mean…

Quantum Physics · Physics 2017-08-02 Illarion Dorofeyev

A quantum absorption refrigerator driven by noise is studied with the purpose of determining the limitations of cooling to absolute zero. The model consists of a working medium coupled simultaneously to hot, cold and noise baths. Explicit…

Quantum Physics · Physics 2015-04-17 Amikam Levy , Ronnie Kosloff

We show that strong parametric driving of a quantum harmonic oscillator coupled to a thermal bath allows one to distinguish between different microscopic models for the oscillator-bath coupling. We consider a bath with an Ohmic spectral…

Atomic Physics · Physics 2018-07-25 Anastasia S. D. Dietrich , Martin Kiffner , Dieter Jaksch

In quantum statistical mechanics, equilibrium states have been shown to be the typical states for a system that is entangled with its environment, suggesting a possible identification between thermodynamic and von Neumann entropies. In this…

Quantum Physics · Physics 2017-06-28 Thibaut Josset

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

We study the non-equilibrium dynamics of two coupled mechanical oscillators with general linear couplings to two uncorrelated thermal baths at temperatures $T_1$ and $T_2$, respectively. We obtain the complete solution of the…

Quantum Physics · Physics 2017-07-07 Daniel Boyanovsky , David Jasnow