期刊
JOURNAL OF STATISTICAL PHYSICS
卷 156, 期 1, 页码 55-65出版社
SPRINGER
DOI: 10.1007/s10955-014-0991-1
关键词
Quantum nonequilibrium thermodynamics; Nonadiabatic entropy production; Quantum relative entropy monotonicity
资金
- ARO MURI [W911NF-11-1-0268]
- JSPS KAKENHI [25800217, 22340114]
- Grants-in-Aid for Scientific Research [25287098, 25103003, 25800217] Funding Source: KAKEN
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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