Single-shot work extraction in quantum thermodynamics revisited

doi:10.1088/1751-8121/aa996b

機構典藏 > College of Sciences > Graduate Institute & Department of Physics > Journal Article > Item 987654321/110041

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Title:	Single-shot work extraction in quantum thermodynamics revisited
Other Titles:	再論量子熱力學中的單次功提取
Authors:	Shang-Yung Wang
Keywords:	quantum thermodynamics;resource theories;quantum concept of work
Date:	2017-12-15
Issue Date:	2017-03-22 02:10:13 (UTC+8)
Publisher:	IOP Publishing
Abstract:	We revisit the problem of work extraction from a system in contact with a heat bath to a work storage system, and the reverse problem of state formation from a thermal system state in single-shot quantum thermodynamics. A physically intuitive and mathematically simple approach using only elementary majorization theory and matrix analysis is developed, and a graphical interpretation of the maximum extractable work, minimum work cost of formation, and corresponding single-shot free energies is presented. This approach provides a bridge between two previous methods based respectively on the concept of thermomajorization and a comparison of subspace dimensions. In addition, a conceptual inconsistency with regard to general work extraction involving transitions between multiple energy levels of the work storage system is clarified and resolved. It is shown that an additional contribution to the maximum extractable work in those general cases should be interpreted not as work extracted from the system, but as heat transferred from the heat bath. Indeed, the additional contribution is an artifact of a work storage system (essentially a suspended "weight" that can be raised or lowered) that does not truly distinguish work from heat. The result calls into question the common concept that a work storage system in quantum thermodynamics is simply the quantum version of a suspended weight in classical thermodynamics.
Relation:	Journal of Physics A 51, 035305(23 pages)
DOI:	10.1088/1751-8121/aa996b
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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