From single-shot towards general work extraction in a quantum thermodynamic framework

DC FieldValueLanguage
dc.contributor.authorGemmer, Jochen
dc.contributor.authorAnders, Janet
dc.date.accessioned2021-12-23T16:06:47Z-
dc.date.available2021-12-23T16:06:47Z-
dc.date.issued2015
dc.identifier.issn13672630
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/7552-
dc.description.abstractThis paper considers work extraction from a quantum system to a work storage system (or weight) following Horodecki and Oppenheim (2013 Nat. Commun. 4 2059). An alternative approach is here developed that relies on the comparison of subspace dimensions without a need to introduce thermo-majorization used previously. Optimal single shot work for processes where a weight transfers from (a) a single energy level to another single energy level is then re-derived. In addition we discuss the final state of the system after work extraction and show that the system typically ends in its thermal state, while there are cases where the system is only close to it. The work of formation in the single level transfer setting is also re-derived. The approach presented now allows the extension of the single shot work concept to work extraction (b) involving multiple final levels of the weight. A key conclusion here is that the single shot work for case (a) is appropriate only when a resonance of a particular energy is required. When wishing to identify `work extraction' with finding the weight in a specific available energy or any higher energy a broadening of the single shot work concept is required. As a final contribution we consider transformations of the system that (c) result in general weight state transfers. Introducing a transfer-quantity allows us to formulate minimum requirements for transformations to be at all possible in a thermodynamic framework. We show that choosing the free energy difference of the weight as the transfer-quantity one recovers various single shot results including single level transitions (a), multiple final level transitions (b), and recent results on restricted sets of multi-level to multi-level weight transfers.
dc.description.sponsorshipEuropean COST network [MP1209]; Royal SocietyRoyal Society of LondonEuropean Commission; EPSRC in the UKUK Research & Innovation (UKRI)Engineering & Physical Sciences Research Council (EPSRC) [EP/M009165/1]; EPSRCUK Research & Innovation (UKRI)Engineering & Physical Sciences Research Council (EPSRC) [EP/M009165/1] Funding Source: UKRI; Engineering and Physical Sciences Research CouncilUK Research & Innovation (UKRI)Engineering & Physical Sciences Research Council (EPSRC) [EP/M009165/1] Funding Source: researchfish; The authors thank the Institute for Mathematical Science (IMS) in Singapore for the stimulating environment at the `Information-Theoretic Approaches to Thermodynamics' meeting at which this project was started. This work was supported by the European COST network MP1209. JA acknowledges support by the Royal Society and EPSRC (EP/M009165/1) in the UK.
dc.language.isoen
dc.publisherIOP PUBLISHING LTD
dc.relation.ispartofNEW JOURNAL OF PHYSICS
dc.subject2ND LAW
dc.subjectAVERAGE ENTROPY
dc.subjectFOUNDATIONS
dc.subjectMAJORIZATION
dc.subjectmultiple energy level transfers
dc.subjectPhysics
dc.subjectPhysics, Multidisciplinary
dc.subjectquantum work concept
dc.subjectsingle shot work extraction
dc.titleFrom single-shot towards general work extraction in a quantum thermodynamic framework
dc.typejournal article
dc.identifier.doi10.1088/1367-2630/17/8/085006
dc.identifier.isiISI:000360958500001
dc.description.volume17
dc.publisher.placeTEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
dcterms.isPartOf.abbreviationNew J. Phys.
dcterms.oaStatusgold, Green Submitted
crisitem.author.netidGeJo743-
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