Assessing the role of initial correlations in the entropy production rate for non-equilibrium harmonic dynamics

Entropy production provides a general way to state the second law of thermodynamics for non-equilibrium scenarios. In open quantum system dynamics, it also serves as a useful quantifier of the degree of irreversibility. In this work we shed light on the relation between correlations, initial prepara...

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Bibliographic Details
Published inarXiv.org
Main Authors Zicari, Giorgio, Brunelli, Matteo, Paternostro, Mauro
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.10.2020
Subjects
Entanglement
Entropy
Harmonic oscillators
Physics - Quantum Physics
Quantum theory
System dynamics
Thermodynamic equilibrium
Thermodynamics
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Summary:Entropy production provides a general way to state the second law of thermodynamics for non-equilibrium scenarios. In open quantum system dynamics, it also serves as a useful quantifier of the degree of irreversibility. In this work we shed light on the relation between correlations, initial preparation of the system and non-Markovianity by studying a system of two harmonic oscillators independently interacting with their local baths. Their dynamics, described by a time-local master equation, is solved to show - both numerically and analytically - that the global purity of the initial state of the system influences the behaviour of the entropy production rate and that the latter depends algebraically on the entanglement that characterise the initial state.
ISSN:2331-8422
DOI:10.48550/arxiv.2004.10726