Statistical Entropy of Open Quantum Systems

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.

9 pages, 7 figures

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Cited by in corpus (5)

• Coherence and entanglement of mechanical oscillators mediated by coupling to different baths
• von Neumann entropy and the entropy production of a damped harmonic oscillator
• Theoretical formulations on thermodynamics of quantum impurity systems
• Strong Coupling and non-Markovian Effects in the Statistical Notion of Temperature
• Over forty years of research towards the understanding of Quantum Brownian Motion -- the contributions of A. O. Caldeira