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New formulations of quantum generalized fluctuation-dissipation relations in terms of characteristic and probabilistic functionals of continuous observations are suggested and discussed. It is shown that control of entropy production in…

统计力学 · 物理学 2013-06-19 Yu. E. Kuzovlev

In thermodynamics, entropy production and work quantify irreversibility and the consumption of useful energy, respectively, when a system is driven out of equilibrium. For quantum systems, these quantities can be identified at the…

Energy-time uncertainty plays an important role in quantum foundations and technologies, and it was even discussed by the founders of quantum mechanics. However, standard approaches (e.g., Robertson's uncertainty relation) do not apply to…

量子物理 · 物理学 2019-03-19 Patrick J. Coles , Vishal Katariya , Seth Lloyd , Iman Marvian , Mark M. Wilde

In this review paper, we discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus applying a sequence of repeated quantum…

Based on trajectory dependent path probability formalism in state space, we derive generalized entropy production fluctuation relations for a quantum system in the presence of measurement and feedback. We have obtained these results for…

统计力学 · 物理学 2015-06-04 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work costs with the corresponding distribution for…

量子物理 · 物理学 2018-02-13 Johan Aberg

The characteristic function of the work performed by an external time-dependent force on a Hamiltonian quantum system is identified with the time-ordered correlation function of the exponentiated system's Hamiltonian. A similar expression…

统计力学 · 物理学 2009-11-13 Peter Talkner , Eric Lutz , Peter Hanggi

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

量子物理 · 物理学 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

Previously derived expressions for the characteristic function of work performed on a quantum system by a classical external force are generalized to arbitrary initial states of the considered system and to Hamiltonians with degenerate…

统计力学 · 物理学 2008-07-11 Peter Talkner , Peter Hanggi , Manuel Morillo

The thermodynamic behavior of out-of-equilibrium quantum systems in finite-time dynamics encompasses the description of energy fluctuations, which dictates a series of system's physical properties. In addition, strong interactions in…

量子物理 · 物理学 2020-08-05 Krissia Zawadzki , Roberto M. Serra , Irene D'Amico

For thermostatted dissipative systems the Fluctuation Theorem gives an analytical expression for the ratio of probabilities that the time averaged entropy production in a finite system observed for a finite time, takes on a specified value…

统计力学 · 物理学 2009-10-31 Denis J. Evans , Debra J. Searles , Emil Mittag

The characteristic function for the joint measurement of the changes of two commuting observables upon an external forcing of a quantum system is derived. In particular, the statistics of the internal energy, the exchanged heat and the work…

统计力学 · 物理学 2009-02-18 Peter Talkner , Michele Campisi , Peter Hänggi

While entropy changes are the usual subject of fluctuation theorems, we seek fluctuation relations involving time-symmetric quantities, namely observables that do not change sign if the trajectories are observed backward in time. We find…

统计力学 · 物理学 2015-11-04 Marco Baiesi , Gianmaria Falasco

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

统计力学 · 物理学 2007-08-02 R. J. Harris , G. M. Schütz

We study energetic exchanges and fluctuations in two-stroke quantum thermodynamic engines where the working fluid is represented by two multilevel quantum systems, i.e. qudits, the heat flow is allowed by relaxation with two thermal…

量子物理 · 物理学 2021-08-03 Massimiliano F. Sacchi

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…

量子物理 · 物理学 2015-07-03 Hoda Hossein-Nejad , Edward J. O'Reilly , Alexandra Olaya-Castro

We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when restricted to the weak-coupling and…

量子物理 · 物理学 2022-06-29 Gabriele De Chiara , Alberto Imparato

Von Neumann entropy rate for open quantum systems is, in general, written in terms of entropy production and entropy flow rates, encompassing the second law of thermodynamics. When the open-quantum-system evolution corresponds to a quantum…

量子物理 · 物理学 2022-01-05 Fabricio Toscano , Gustavo M. Bosyk , Steeve Zozor , Mariela Portesi

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

A quantum statistical expression for the entropy of a nonequilibrium system is defined so as to be consistent with Gibbs' relation, and is shown to corresponds to dynamical variable by introducing analogous to the Heisenberg picture in…

统计力学 · 物理学 2013-05-29 Hiroki Majima , Akira Suzuki
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