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

Abstract

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.

arXiv comment10 pages, 12 figures. Close to published version in Phys. Rev. Research

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• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Irreversibility in an optical parametric driven optomechanical system
• Anomalous flow in correlated quantum systems: No-go result and multiple-charge scenario