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dc.contributor.authorHall, Michael JW
dc.contributor.authorCresser, James D
dc.contributor.authorLi, Li
dc.contributor.authorAndersson, Erika
dc.date.accessioned2017-05-03T16:06:07Z
dc.date.available2017-05-03T16:06:07Z
dc.date.issued2014
dc.date.modified2014-09-09T23:32:42Z
dc.identifier.issn1050-2947
dc.identifier.doi10.1103/PhysRevA.89.042120
dc.identifier.urihttp://hdl.handle.net/10072/62231
dc.description.abstractMaster equations govern the time evolution of a quantum system interacting with an environment, and may be written in a variety of forms. Time-independent or memoryless master equations, in particular, can be cast in the well-known Lindblad form. Any time-local master equation, Markovian or non-Markovian, may in fact also be written in a Lindblad-like form. A diagonalization procedure results in a unique, and in this sense canonical, representation of the equation, which may be used to fully characterize the non-Markovianity of the time evolution. Recently, several different measures of non-Markovianity have been presented which reflect, to varying degrees, the appearance of negative decoherence rates in the Lindblad-like form of the master equation. We therefore propose using the negative decoherence rates themselves, as they appear in the canonical form of the master equation, to completely characterize non-Markovianity. The advantages of this are especially apparent when more than one decoherence channel is present. We show that a measure proposed by Rivas et al. [Phys. Rev. Lett. 105, 050403 (2010)] is a surprisingly simple function of the canonical decoherence rates, and give an example of a master equation that is non-Markovian for all times t>0, but to which nearly all proposed measures are blind. We also give necessary and sufficient conditions for trace distance and volume measures to witness non-Markovianity, in terms of the Bloch damping matrix.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent198854 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofstudentpublicationY
dc.relation.ispartofpagefrom042120-1
dc.relation.ispartofpageto042120-11
dc.relation.ispartofissue4
dc.relation.ispartofjournalPhysical Review A (Atomic, Molecular and Optical Physics)
dc.relation.ispartofvolume89
dc.rights.retentionY
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchQuantum information, computation and communication
dc.subject.fieldofresearchQuantum physics not elsewhere classified
dc.subject.fieldofresearchChemical sciences
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode510803
dc.subject.fieldofresearchcode510899
dc.subject.fieldofresearchcode34
dc.titleCanonical form of master equations and characterization of non-Markovianity
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2014 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2014
gro.hasfulltextFull Text
gro.griffith.authorLi, Kenny
gro.griffith.authorHall, Michael J.


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