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dc.contributor.authorIkeda, Tatsuhiko N.en_US
dc.contributor.authorSakumichi, Naoyukien_US
dc.contributor.authorPolkovnikov, Anatolien_US
dc.contributor.authorUeda, Masahitoen_US
dc.date.accessioned2019-06-11T18:32:16Z
dc.date.available2019-06-11T18:32:16Z
dc.date.issued2015-03-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000353079500021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationTatsuhiko N Ikeda, Naoyuki Sakumichi, Anatoli Polkovnikov, Masahito Ueda. 2015. "The second law of thermodynamics under unitary evolution and external operations." ANNALS OF PHYSICS, Volume 354, pp. 338 - 352 (15). https://doi.org/10.1016/j.aop.2015.01.003
dc.identifier.issn0003-4916
dc.identifier.issn1096-035X
dc.identifier.urihttps://hdl.handle.net/2144/35971
dc.description.abstractThe von Neumann entropy cannot represent the thermodynamic entropy of equilibrium pure states in isolated quantum systems. The diagonal entropy, which is the Shannon entropy in the energy eigenbasis at each instant of time, is a natural generalization of the von Neumann entropy and applicable to equilibrium pure states. We show that the diagonal entropy is consistent with the second law of thermodynamics upon arbitrary external unitary operations. In terms of the diagonal entropy, thermodynamic irreversibility follows from the facts that quantum trajectories under unitary evolution are restricted by the Hamiltonian dynamics and that the external operation is performed without reference to the microscopic state of the system.en_US
dc.description.sponsorshipFruitful discussions with Masahiro Hotta, Takashi Mori, Takahiro Sagawa, and Takanori Sugiyama are gratefully acknowledged. This work was supported by KAKENHI 26287088, a Grant-in-Aid for Scientific Research on Innovation Areas "Topological Quantum Phenomena" (KAKENHI 22103005), and the Photon Frontier Network Program, from MEXT of Japan. T.N.I. acknowledges the JSPS for financial support (Grant No. 248408). N.S. was supported by a Grant-in-Aid for JSPS Fellows (Grant No. 250588). (26287088 - KAKENHI; 22103005 - KAKENHI; Photon Frontier Network Program, from MEXT of Japan; 24840 - JSPS; 250588)en_US
dc.format.extentp. 338 - 352en_US
dc.languageEnglish
dc.language.isoen_US
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCEen_US
dc.relation.ispartofANNALS OF PHYSICS
dc.subjectScience & technologyen_US
dc.subjectPhysical sciencesen_US
dc.subjectPhysics, multidisciplinaryen_US
dc.subjectStatistical mechanicsen_US
dc.subjectThermodynamicsen_US
dc.subjectQuantum pure statesen_US
dc.subjectIsolated quantum systemsen_US
dc.subjectQuantum-systemsen_US
dc.subjectErgodic theoremen_US
dc.subjectThermalizationen_US
dc.subjectMechenicsen_US
dc.subjectDynamicsen_US
dc.subjectProofen_US
dc.subjectMathematical sciencesen_US
dc.subjectNuclear & particles physicsen_US
dc.titleThe second law of thermodynamics under unitary evolution and external operationsen_US
dc.typeArticleen_US
dc.description.versionAccepted manuscripten_US
dc.identifier.doi10.1016/j.aop.2015.01.003
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0002-5549-7400 (Polkovnikov, Anatoli)
dc.identifier.mycv38332


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