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Two approaches to small-scale and quantum thermodynamics are fluctuation relations and one-shot statistical mechanics. Fluctuation relations (such as Crooks' Theorem and Jarzynski's Equality) relate nonequilibrium behaviors to equilibrium…

Statistical Mechanics · Physics 2015-09-16 Nicole Yunger Halpern , Andrew J. P. Garner , Oscar C. O. Dahlsten , Vlatko Vedral

A deeper understanding of the differences between quantum and classical dynamics promises great potential for emerging technologies. Nevertheless, some aspects remain poorly understood, particularly concerning the role of quantum coherence…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Kacper Prech , Philip Johansson , Elias Nyholm , Gabriel T. Landi , Claudio Verdozzi , Peter Samuelsson , Patrick P. Potts

The thermodynamics of small quantum many-body systems strongly coupled to a heat bath at low temperatures with non-Markovian behavior are new challenges for quantum thermodynamics, as traditional thermodynamics is built on large systems…

Quantum Physics · Physics 2019-04-23 Jen-Tsung Hsiang , B. L. Hu

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…

In bipartite quantum systems commutation relations between the Hamiltonian of each subsystem and the interaction impose fundamental constraints on the dynamics of each partition. Here we investigate work, heat and entropy production in…

Quantum Physics · Physics 2015-07-03 Hoda Hossein-Nejad , Edward J. O'Reilly , Alexandra Olaya-Castro

In slowly driven classical systems, work is a stochastic quantity and its probability distribution is known to satisfy the work fluctuation-dissipation relation, which states that the mean and variance of the dissipated work are linearly…

Quantum Physics · Physics 2024-11-20 Jian Li , Mark T. Mitchison , Saulo V. Moreira

A quantum analog of friction (understood as a completely positive, Markovian, translation-invariant and phenomenological model of dissipation) is known to be in odds with the detailed balance in the thermodynamic limit. We show that this is…

Quantum Physics · Physics 2018-11-07 Dmitry V. Zhdanov , Denys I. Bondar , Tamar Seideman

Why do quantum evolutions occur and why do they stop at certain points? In classical thermodynamics affinity was introduced to predict in which direction an irreversible process proceeds. In this paper the quantum mechanical counterpart of…

Quantum Physics · Physics 2018-12-11 B. Ahmadi , S. Salimi , F. Kheirandish , A. S. Khorashad

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we determine the degree of quantum decoherence of a harmonic oscillator interacting with a thermal bath. It is found that the system…

Quantum Physics · Physics 2008-03-27 Aurelian Isar

The hydrodynamic formulation of quantum mechanics is used to elucidate the mechanism for decoherence, the suppression of interference effects in a system evolving from an initial coherent superposition. Analysis of time-dependent trajectory…

Quantum Physics · Physics 2007-05-23 Kyungsun Na , Robert E. Wyatt

"Quantum mechanics must be regarded as open systems. On one hand, this is due to the fact that, like in classical physics, any realistic system is subjected to a coupling to an uncontrollable environment which influences it in a…

Quantum Physics · Physics 2007-05-23 S. Nicolosi

The fact that gravitational environments cannot be shielded (since gravity is universal) makes them of great theoretical interest to decoherence mechanisms and to the quantum-to-classical transition. While past results seemed to indicate…

Quantum Physics · Physics 2026-02-27 Thiago H. Moreira , Lucas Chibebe Céleri

In this paper, unambiguous redefinitions of heat and work are presented for quantum thermodynamic systems. We will use genuine reasoning based on which Clausius originally defined work and heat in establishing thermodynamics. The change in…

Quantum Physics · Physics 2023-03-15 B. Ahmadi , S. Salimi , A. S. Khorashad

Based on the observation that the thermodynamic equilibrium free energy of an open quantum system in contact with a thermal environment can be understood as the difference between the free energy of the total system and that of the bare…

Statistical Mechanics · Physics 2009-06-01 Michele Campisi , Peter Talkner , Peter Hänggi

For driven open systems in contact with multiple heat reservoirs, we find the marginal distributions of work or heat do not satisfy any fluctuation theorem, but only the joint distribution of work and heat satisfies a family of fluctuation…

Statistical Mechanics · Physics 2023-03-08 Jin-Fu Chen , H. T. Quan

Decoherence is an essential mechanism that defines the boundary between classical and quantum behaviours, while imposing technological bounds for quantum devices. Little is known about quantum coherence of mechanical systems, as opposed to…

Mesoscale and Nanoscale Physics · Physics 2017-10-26 Olivier Maillet , Frantisek Vavrek , Andrew D. Fefferman , Olivier Bourgeois , Eddy Collin

Fluctuations strongly affect the dynamics and functionality of nanoscale thermal machines. Recent developments in stochastic thermodynamics have shown that fluctuations in many far-from-equilibrium systems are constrained by the rate of…

Quantum Physics · Physics 2021-01-29 Antoine Rignon-Bret , Giacomo Guarnieri , John Goold , Mark T. Mitchison

The standard definition of quantum fluctuating work is based on the two-projective energy measurement, which however does not apply to systems with initial quantum coherence because the first projective energy measurement destroys the…

Quantum Physics · Physics 2019-04-12 Rui Pan , Zhaoyu Fei , Tian Qiu , Jing-Ning Zhang , H. T. Quan

In classical thermodynamic processes the unavoidable presence of irreversibility, quantified by the entropy production, carries two energetic footprints: the reduction of extractable work from the optimal, reversible case, and the…

Quantum Physics · Physics 2020-05-20 M. H. Mohammady , A. Aufféves , J. Anders

This work proposes a series of quantum experiments that can, at least in principle, allow for examining microscopic mechanisms associated with decoherence. These experiments can be interpreted as a quantum-mechanical version of…

Quantum Physics · Physics 2021-09-21 A. Y. Klimenko