Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 156, Issue 1, Pages 55-65Publisher
SPRINGER
DOI: 10.1007/s10955-014-0991-1
Keywords
Quantum nonequilibrium thermodynamics; Nonadiabatic entropy production; Quantum relative entropy monotonicity
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Funding
- ARO MURI [W911NF-11-1-0268]
- JSPS KAKENHI [25800217, 22340114]
- Grants-in-Aid for Scientific Research [25287098, 25103003, 25800217] Funding Source: KAKEN
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The nonadiabatic entropy production is a useful tool for the thermodynamic analysis of continuously dissipating, nonequilibrium steady states. For open quantum systems, two seemingly distinct definitions for the nonadiabatic entropy production have appeared in the literature, one based on the quantum relative entropy and the other based on quantum trajectories. We show that these two formulations are equivalent. Furthermore, this equivalence leads us to a proof of the monotonicity of the quantum relative entropy under a special class of completely-positive, trace-preserving quantum maps, which circumvents difficulties associated with the noncommuntative structure of operators.
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