An entropic gradient structure for Lindblad equations and GENERIC for quantum systems coupled to macroscopic models

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dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2320
dc.contributor.authorMittnenzweig, Markus
dc.contributor.authorMielke, Alexander
dc.date.accessioned2016-12-17T10:47:08Z
dc.date.available2019-06-28T08:02:02Z
dc.date.issued2016
dc.description.abstractWe show that all Lindblad operators (i.e. generators of quantum semigroups) on a finite-dimensional Hilbert space satisfying the detailed balance condition with respect to the thermal equilibrium state can be written as a gradient system with respect to the relative entropy. We discuss also thermodynamically consistent couplings to macroscopic systems, either as damped Hamiltonian systems with constant temperature or as GENERIC systems.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/1971
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/1688
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherQuantum Markov semigroupseng
dc.subject.otheropen quantum systemseng
dc.subject.otherLindblad operatoreng
dc.subject.otherdetailedbalance condition. relative entropyeng
dc.subject.otherOnsager operatorseng
dc.subject.othergeneral equations for non-equilibrium reversible irreversible couplingeng
dc.subject.otherGENERICeng
dc.titleAn entropic gradient structure for Lindblad equations and GENERIC for quantum systems coupled to macroscopic modelseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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