期刊
PHYSICAL REVIEW A
卷 99, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.99.010101
关键词
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资金
- Foundational Questions Institute (FQXi)
- Faggin Presidential Chair Fund
We extend classical coarse-grained entropy, commonly used in many branches of physics, to the quantum realm. We find two coarse grainings, one using measurements of local particle numbers and then total energy, and the second using local energy measurements, which lead to an entropy that is defined outside of equilibrium, is in accord with the thermodynamic entropy for equilibrium systems, and reaches the thermodynamic entropy in the long-time limit, even in genuinely isolated quantum systems. This answers the long-standing conceptual problem, as to which entropy is relevant for the formulation of the second thermodynamic law in closed quantum systems. This entropy could be in principle measured, especially now that experiments on such systems are becoming feasible.
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