The role of quantum coherence in non-equilibrium entropy production
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2019
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Thermodynamic irreversibility is well characterized by the entropy production arising from non-equilibrium quantum processes. We
show that the entropy production of a quantum system undergoing open-system dynamics can be formally split into a term that
only depends on population unbalances, and one that is underpinned by quantum coherences. This allows us to identify a genuine
quantum contribution to the entropy production in non-equilibrium quantum processes. We discuss how these features emerge
both in Lindblad-Davies differential maps and finite maps subject to the constraints of thermal operations. We also show how this
separation naturally leads to two independent entropic conservation laws for the global system-environment dynamics, one
referring to the redistribution of populations between system and environment and the other describing how the coherence
initially present in the system is distributed into local coherences in the environment and non-local coherences in the system environment state. Finally, we discuss how the processing of quantum coherences and the incompatibility of non-commuting
measurements leads to fundamental limitations in the description of quantum trajectories and fluctuation theorems.
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SANTOS, Jader P.; CÉLERI, Lucas C.; LANDI, Gabriel T.; PATERNOSTRO, Mauro. The role of quantum coherence in non-equilibrium entropy production. npj Quantum Information, Berlim, n. 5, e23, 2019. DOI: 10.1038/s41534-019-0138-y. Disponível em: https://arxiv.org/abs/1707.08946. Acesso em: 2 maio 2023.