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We analyze the production of entropy along non-equilibrium processes in quantum systems coupled to generic environments. First, we show that the entropy production due to final measurements and the loss of correlations obeys a fluctuation…

Quantum Physics · Physics 2018-08-08 Gonzalo Manzano , Jordan M. Horowitz , Juan M. R. Parrondo

We identify the conditions under which a stochastic driving inducing energy changes on a system coupled to a thermal bath can be treated as a work source. When these conditions are met, the work statistics satisfies the Crooks fluctuation…

Statistical Mechanics · Physics 2015-06-18 Gatien Verley , Christian Van den Broeck , Massimiliano Esposito

We derive the differential equation describing the time evolution of the work probability distribution function of a stochastic system which is driven out of equilibrium by the manipulation of a parameter. We consider both systems described…

Statistical Mechanics · Physics 2007-05-23 A. Imparato , L. Peliti

In this paper we aim at characterizing the effect of stochastic fluctuations on the distribution of the energy exchanged by a quantum system with an external environment under sequences of quantum measurements performed at random times.…

We present a generalization of Jarzynski's Equality, applicable to quantum systems, relating discretized mechanical work and free-energy changes. The theory is based on a step-wise pulling protocol. We find that work distribution functions…

Quantum Physics · Physics 2012-09-21 Van A. Ngo , Stephan Haas

Counterdiabatic driving (CD) exploits auxiliary control fields to tailor the nonequilibrium dynamics of a quantum system, making possible the suppression of dissipated work in finite-time thermodynamics and the engineering of optimal…

Quantum Physics · Physics 2017-03-14 Ken Funo , Jing-Ning Zhang , Cyril Chatou , Kihwan Kim , Masahito Ueda , Adolfo del Campo

While thermodynamics is a useful tool to describe the driving of large systems close to equilibrium, fluctuations dominate the distribution of heat and work in small systems and far from equilibrium. We study the heat generated by driving a…

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

Statistical Mechanics · Physics 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

We reconsider a well-known relationship between the fluctuation theorem and the second law of thermodynamics by evaluating a probability measure-valued process. In order to establish a bridge between microscopic and macroscopic behaviors,…

Statistical Mechanics · Physics 2015-03-19 Yuki Sughiyama , Masayuki Ohzeki

Thermodynamics of quantum coherence has attracted growing attention recently, where the thermodynamic advantage of quantum superposition is characterized in terms of quantum thermodynamics. We investigate thermodynamic effects of quantum…

Statistical Mechanics · Physics 2017-10-25 Yûto Murashita , Zongping Gong , Yuto Ashida , Masahito Ueda

Suppressing undesired nonunitary effects is a major challenge in quantum computation and quantum control. In this work, by considering the adiabatic dynamics in presence of a surrounding environment, we theoretically and experimentally…

This article sets up a formalism to describe stochastic thermodynamics for driven out-of-equilibrium open quantum systems. A stochastic Schr\"odinger equation allows to construct quantum trajectories describing the dynamics of the system…

Statistical Mechanics · Physics 2016-10-17 Cyril Elouard , Alexia Auffèves , Maxime Clusel

We discuss the thermodynamics of closed quantum systems driven out of equilibrium by a change in a control parameter and undergoing a unitary process. We compare the work actually done on the system with the one that would be performed…

Quantum Physics · Physics 2015-01-20 F. Plastina , A. Alecce , T. J. G. Apollaro , G. Falcone , G. Francica , F. Galve , N. Lo Gullo , R. Zambrini

We discuss dynamics of periodically-driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is…

Quantum Physics · Physics 2022-11-08 Kazutaka Takahashi

We study the statistics of work, dissipation, and entropy production of a quantum quasi-isothermal process, where the system remains close to the thermal equilibrium along the transformation. We derive a general analytic expression for the…

Quantum Physics · Physics 2020-07-01 Matteo Scandi , Harry J. D. Miller , Janet Anders , Marti Perarnau-Llobet

Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo…

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium thermodynamics. In this article, we…

Statistical Mechanics · Physics 2015-06-16 Jordan M. Horowitz , Juan M. R. Parrondo

We present a general scheme to obtain work distribution in closed systems under continuous quantum histories of corresponding "power" operator. The scheme is tested by analytically calculating the quantum work distribution for a prototype…

Statistical Mechanics · Physics 2013-04-24 Huanan Li , Jian-Sheng Wang

In this work, we numerically verify the Jarzynski equality and Crook fluctuation theorem for a Brownian particle diffusing in a heterogeneous thermal bath and hence having a non-Gaussian position distribution. We use the…

Statistical Mechanics · Physics 2026-03-05 A. Saravanan , I. Iyyappan

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
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