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arXiv · 1607.05800

Statistical Entropy of Open Quantum Systems

Lisan M. M. Durão·Amir O. Caldeira
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Abstract

Dissipative quantum systems are frequently described within the framework of the so-called "system-plus-reservoir" approach. In this work we assign their description to the Maximum Entropy Formalism and compare the resulting thermodynamic properties with those of the well - established approaches. Due to the non-negligible coupling to the heat reservoir, these systems are non-extensive by nature, and the former task may require the use of non-extensive parameter dependent informational entropies. In doing so, we address the problem of choosing appropriate forms of those entropies in order to describe a consistent thermodynamics for dissipative quantum systems. Nevertheless, even having chosen the most successful and popular forms of those entropies, we have proven our model to be a counterexample where this sort of approach leads us to wrong results.

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Lisan M. M. Durão, Amir O. Caldeira. 2016-07-20. Statistical Entropy of Open Quantum Systems. https://doi.org/10.1103/physreve.94.062147

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