On the role of initial coherence in the spin phase-space entropy production rate

• URL: http://arxiv.org/abs/2207.05627v3
• Date: Thu, 2 Feb 2023 17:54:44 GMT
• Title: On the role of initial coherence in the spin phase-space entropy production rate
• Authors: G. Zicari, B. \c{C}akmak, \"Ozg\"ur E. M\"ustecapl{\i}o\u{g}lu, M. Paternostro
• Abstract summary: We show that, when considering entropy production generated in a process taking a finite-size bipartite quantum system out of equilibrium through local non-unitary channels, no general monotonicity relationship exists between the entropy production and degree of quantum coherence in the state of the system. Our results call for a systematic study of the role of genuine quantum features in the non-equilibrium thermodynamics of quantum processes.
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• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Recent studies have pointed out the intrinsic dependence of figures of merit of thermodynamic relevance -- such as work, heat and entropy production -- on the amount of quantum coherences that is made available to a system. However, whether coherences hinder or enhance the value taken by such quantifiers of thermodynamic performance is yet to be ascertained. We show that, when considering entropy production generated in a process taking a finite-size bipartite quantum system out of equilibrium through local non-unitary channels, no general monotonicity relationship exists between the entropy production and degree of quantum coherence in the state of the system. A direct correspondence between such quantities can be retrieved when considering specific forms of open-system dynamics applied to suitably chosen initial states. Our results call for a systematic study of the role of genuine quantum features in the non-equilibrium thermodynamics of quantum processes.

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