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In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

The work performed on a system in a microcanonical state by changes in a control parameter is characterized in terms of its statistics. The transition probabilities between eigenstates of the system Hamiltonians at the beginning and the end…

Statistical Mechanics · Physics 2014-01-21 Peter Talkner , Manuel Morillo , Juyeon Yi , Peter Hanggi

A result of great theoretical and experimental interest, Jarzynski equality predicts a free energy change $\Delta F$ of a system at inverse temperature $\beta$ from an ensemble average of non-equilibrium exponential work, i.e., $\langle…

Statistical Mechanics · Physics 2017-10-18 Juan D. Jaramillo , Jiawen Deng , Jiangbin Gong

It is known that temperature estimates of macroscopic systems in equilibrium are most precise when their energy fluctuations are large. However, for nanoscale systems deviations from standard thermodynamics arise due to their interactions…

Quantum Physics · Physics 2018-06-14 Harry J. D. Miller , Janet Anders

"\textit{The noise is the signal}"[R. Landauer, Nature \textbf{392}, 658 (1998)] emphasizes the rich information content encoded in fluctuations. This paper assesses the dynamical role of fluctuations of a quantum system driven far from…

Quantum Physics · Physics 2015-03-10 Yi-Jen Chen , Stefan Pabst , Zheng Li , Oriol Vendrell , Robin Santra

We examine the fluctuation theorems which traditionally have been studied for classical systems and enquire if they can be extended to the quantum domain, especially at low temperatures. The example chosen is that of a problem which has…

Quantum Physics · Physics 2016-06-29 G. S. Agarwal , S. Dattagupta

For classical systems driven out of equilibrium, Crooks derived a relation (the Crooks-Jarzynski relation), whose special cases include a relation (the Crooks relation) equivalent to the Kawasaki non-linear response relation. We derive a…

Statistical Mechanics · Physics 2014-05-26 Hiroshi Matsuoka

We investigate manipulations of pure quantum states under incoherent or strictly incoherent operations assisted by a coherence battery, that is, a storage device whose degree of coherence is allowed to fluctuate in the process. This leads…

Quantum Physics · Physics 2018-09-26 Benjamin Morris , Gerardo Adesso

We use quantum estimation theory to derive a thermodynamic uncertainty relation in Markovian open quantum systems, which bounds the fluctuation of continuous measurements. The derived quantum thermodynamic uncertainty relation holds for…

Statistical Mechanics · Physics 2020-07-30 Yoshihiko Hasegawa

The generating functional is derived for the fluctuation-dissipation relations which result from the unitarity and reversibility of microscopic dynamics and connect various statistical characteristics of many consecutive (continuous)…

Statistical Mechanics · Physics 2007-05-23 Yuriy E. Kuzovlev

The application of the conventional theory of macroparameter fluctuations has been shown to go beyond the framework of the thermodynamic description in a number of cases. The principles of the theory of quantum-thermal fluctuations of…

Statistical Mechanics · Physics 2011-12-09 A. D. Sukhanov , O. N. Golubjeva , V. G. Baryakhtar

We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs when the system exhibits degeneracies. The first and second law of thermodynamics are derived, as well as a finite-time fluctuation theorem for…

Statistical Mechanics · Physics 2017-03-08 Gregory Bulnes Cuetara , Massimiliano Esposito , Gernot Schaller

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

Statistical Mechanics · Physics 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

The quantum fluctuations of a physical property can be observed in the measurement statistics of any measurement that is at least partially sensitive to that physical property. Quantum theory indicates that the effective distribution of…

Quantum Physics · Physics 2020-12-25 Holger F. Hofmann

We study the heat transfer between two finite quantum systems initially at different temperatures. We find that a recently proposed fluctuation theorem for heat exchange, namely the exchange fluctuation theorem [C. Jarzynski and D. K.…

Statistical Mechanics · Physics 2009-07-03 Shiho Akagawa , Naomichi Hatano

The fluctuation theorem is the fundamental equality in nonequilibrium thermodynamics that is used to derive many important thermodynamic relations, such as the second law of thermodynamics and the Jarzynski equality. Recently, the…

Statistical Mechanics · Physics 2019-09-16 Yoshihiko Hasegawa , Tan Van Vu

A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

Statistical Mechanics · Physics 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants

Quantum fluctuations or other moments of a state contribute to energy expectation values and can imply interesting physical effects. In quantum cosmology, they turn out to be important for a discussion of density bounds and instabilities of…

General Relativity and Quantum Cosmology · Physics 2014-07-02 Martin Bojowald

We present a formalism for studying the behaviour of quantum systems coupled to nonequilibrium environments exhibiting nonGaussian fluctuations. We discuss the role of a qubit as a detector of the statistics of environmental fluctuations,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Clive Emary

We theoretically explore the Bochkov-Kuzovlev-Jarzynski-Crooks work theorems in a finite system subject to external control, which is coupled to a heat reservoir. We first elaborate the mechanical energy-balance between the system and the…

Statistical Mechanics · Physics 2015-09-02 Chang Sub Kim
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