Stochastic entropy production: Fluctuation relation and irreversibility mitigation in non-unital quantum dynamics

• DOI: 10.48550/arxiv.2210.07866
• Publication Date: 2022-01-01
• Authors: Eliana Fiorelli; Stefano Gherardini; Stefano Marcantoni
• Keywords: Entropy production; Thermalisation; Quantum relative entropy; Generalized relative entropy

In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital maps. particular, as [Phys. Rev. E 92, 032129 (2015)], consider Kraus operators that can be related to nonequilibrium potential. This accounts for both thermalization and equilibration non-thermal state. Unlike unital maps, non-unitality responsible an unbalance forward backward dynamics system under scrutiny. Here, concentrating on observables commute with invariant state evolution, show how non-equilibrium potential enters statistics production. prove fluctuation relation latter find convenient way expressing its average solely terms relative entropies. Then, theoretical results are applied qubit non-Markovian transient, phenomenon irreversibility mitigation, introduced Research 2, 033250 (2020)], analyzed context.