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arXiv:1805.08305 · Fundamental theories of physics

Work, Heat and Entropy Production Along Quantum Trajectories

Cyril Elouard, Majid Mohammady

Published Jan 1, 2018• 13 citations
arXivHTMLPDF
DOI
10.1007/978-3-319-99046-0_15

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A complete thermodynamic analysis of a quantum measurement process necessitates a method for obtaining higher moments of thermodynamic quantities, such as work, heat, and entropy production. While such a method is provided by the eigenstate trajectory approach of stochastic quantum thermodynamics, conceptual difficulties are encountered when the quantum system being measured is degenerate; an infinite possibility of eigen-decompositions of the quantum state results in infinitely many sets of eigenstate trajectories, thereby precluding the unique assignment of higher moments in general. In the present manuscript we provide a solution to this problem for the case of ideal projective measurements, by ``coarse-graining'' the eigenstate trajectories, and modifying the definition of stochastic energy change. We show that the resulting statistics of work, heat, and entropy production are always uniquely defined, and reduce to those given by the eigenstate trajectory method when the latter does not result in ambiguities. Our proposed methodology thus paves the way towards a novel approach for studying the thermodynamic properties of degenerate quantum systems.