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dc.contributor.authorMaldonado-Mundo, Daniel
dc.contributor.authorOehberg, Patrik
dc.contributor.authorLovett, Brendon W.
dc.contributor.authorAndersson, Erika
dc.identifier.citationMaldonado-Mundo , D , Oehberg , P , Lovett , B W & Andersson , E 2012 , ' Investigating the generality of time-local master equations ' , Physical Review. A, Atomic, molecular, and optical physics , vol. 86 , no. 4 , 042107 .
dc.identifier.otherPURE: 79638721
dc.identifier.otherPURE UUID: ccdf4180-f245-4b63-a15f-46244453ef77
dc.identifier.otherWOS: 000309576300004
dc.identifier.otherScopus: 84867255555
dc.identifier.otherORCID: /0000-0001-5142-9585/work/47136548
dc.descriptionWe acknowledge helpful discussions with J. Cresser. D.M.-M. acknowledges support from the EPSRC CMDTC,P.O. acknowledges support from EPSRC Grant No. EP/J001392/1, B.W.L. thanks the Royal Society for a University Research Fellowship, and E.A. acknowledges partial support from EPSRC Grant No. EP/G009821/1.en
dc.description.abstractTime-local master equations are more generally applicable than is often recognized, but at first sight, it would seem that they can only safely be used in time intervals where the time evolution is invertible. Using the Jaynes-Cummings model, we here construct an explicit example where two different Hamiltonians, corresponding to two different noninvertible and non-Markovian time evolutions, lead to arbitrarily similar time-local master equations. This illustrates how the time-local master equation, on its own in this case, does not uniquely determine the time evolution. The example is, nevertheless, artificial in the sense that a rapid change in (at least) one of the Hamiltonians is needed. The change must also occur at a very specific instance in time. If a Hamiltonian is known not to have such very specific behavior but is "physically well behaved," then one may conjecture that a time-local master equation also determines the time evolution when it is not invertible.
dc.relation.ispartofPhysical Review. A, Atomic, molecular, and optical physicsen
dc.rights© 2012. American Physical Society.en
dc.subjectDynamical semigroupsen
dc.subjectQC Physicsen
dc.titleInvestigating the generality of time-local master equationsen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews.Condensed Matter Physicsen
dc.description.statusPeer revieweden

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