Aberg, Johan (2018). Fully Quantum Fluctuation Theorems. Phys. Rev. X, 8 (1). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2160-3308

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Abstract

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work costs to the corresponding distribution for the reverse process. By an analysis that explicitly incorporates the energy reservoir that donates the energy and the control system that implements the dynamic, we obtain a quantum generalization of Crooks theorem that not only includes the energy changes in the reservoir but also the full description of its evolution, including coherences. Moreover, this approach opens up the possibility for generalizations of the concept of fluctuation relations. Here, we introduce conditional fluctuation relations that are applicable to nonequilibrium systems, as well as approximate fluctuation relations that allow for the analysis of autonomous evolution generated by global time-independent Hamiltonians. We furthermore extend these notions to Markovian master equations, implicitly modeling the influence of the heat bath.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Aberg, JohanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-196150
DOI: 10.1103/PhysRevX.8.011019
Journal or Publication Title: Phys. Rev. X
Volume: 8
Number: 1
Date: 2018
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2160-3308
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
TIME-REVERSAL SYMMETRY; 2ND LAW; NONEQUILIBRIUM FLUCTUATIONS; STATISTICAL-MECHANICS; LANDAUER PRINCIPLE; THERMAL OPERATIONS; JARZYNSKI EQUALITY; INFORMATION-THEORY; WORK EXTRACTION; THERMODYNAMICSMultiple languages
Physics, MultidisciplinaryMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/19615

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