The role of quantum coherence in non-equilibrium entropy production
By Jader P. Santos, Lucas C. Céleri, Gabriel T. Landi, Mauro Paternostro. npj Quantum Information, 2017
182 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8304eed7efddc412b012754867c8eda432c5d2f0
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Irreversible entropy production: From classical to quantum (2020, background): “…operation, the populations 〈in|ρnS |in〉 at the instantaneous eigenstates will evolve according to the classical Markov chain (Cwiklinski et al., 2015; Santos et al., 2019) 〈in|ρn+1S |in〉 = ∑ j Mn(i| j)〈 jn|ρnS | jn〉, (121) where Mn(i| j) = ∑ µ,ν qnν |〈in, µn|US An | jn, νn〉|2, with qnν and |νn〉,…”
- Coherence effects in the performance of the quantum Otto heat engine (2018, background): “On the other hand, other investigations connected coherence to an increase in the entropy produced in a thermalization process [56, 57].”