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2 results on '"time-reversed process"'

1. Fluctuation Theorem for Information Thermodynamics of Quantum Correlated Systems.

Author

Park, Jung Jun and Nha, Hyunchul

Subjects
*QUANTUM thermodynamics, *QUANTUM correlations, *QUANTUM statistics, *QUANTUM fluctuations, *PHOTONS, *STATISTICAL correlation
Abstract

We establish a fluctuation theorem for an open quantum bipartite system that explicitly manifests the role played by quantum correlation. Generally quantum correlations may substantially modify the universality of classical thermodynamic relations in composite systems. Our fluctuation theorem finds a non-equilibrium parameter of genuinely quantum nature that sheds light on the emerging quantum information thermodynamics. Specifically we show that the statistics of quantum correlation fluctuation obtained in a time-reversed process can provide a useful insight into addressing work and heat in the resulting thermodynamic evolution. We illustrate these quantum thermodynamic relations by two examples of quantum correlated systems. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Relative entropy and waiting times for continuous-time Markov processes

Author

Jean-René Chazottes, Frank Redig, and Cristian Giardinà

Subjects
Statistics and Probability, Catene di markov, probabilita', FOS: Physical sciences, meccanica statistica, continuous-time Markov chain, entropy production, large deviations, Combinatorics, Differential entropy, Rényi entropy, Generalized relative entropy, 60J27, time-reversed process, FOS: Mathematics, Statistical physics, Entropy rate, Mathematical Physics, Mathematics, Probability (math.PR), law of large numbers, Min entropy, Mathematical Physics (math-ph), Quantum relative entropy, Maximum entropy probability distribution, Statistics, Probability and Uncertainty, central limittheorem, Joint quantum entropy, Mathematics - Probability, 60F10
Abstract

For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuous-time setting. Contrarily to the discrete-time case one does need a reference measure and so the natural object is relative entropy rather than entropy. In this paper we elaborate on this in the case of continuous-time Markov processes with finite state space. A reference measure of special interest is the one associated to the time-reversed process. In that case relative entropy is interpreted as the entropy production rate. The main results of this paper are: almost-sure convergence to relative entropy of suitable waiting-times and their fluctuation properties (central limit theorem and large deviation principle)., Comment: 17 pages

Published
2006

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