Non-Markovianity, Loschmidt echo, and criticality: a unified picture

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dc.contributor.authorHaikka, P.
dc.contributor.authorGoold, John
dc.contributor.authorMcEndoo, Suzanne
dc.contributor.authorPlastina, F.
dc.contributor.authorManiscalco, S.
dc.contributor.funderEmil Aaltosen Säätiö
dc.contributor.funderSuomen Kulttuurirahasto
dc.contributor.funderFP7 People: Marie-Curie Actions
dc.date.accessioned2017-08-22T10:30:37Z
dc.date.available2017-08-22T10:30:37Z
dc.date.issued2012
dc.description.abstractA simple relationship between recently proposed measures of non-Markovianity and the Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure dephasing due to a coupling with a many-body environment. We show that the Loschmidt echo is intimately related to the information flowing out from and occasionally back into the system. This, in turn, determines the non-Markovianity of the reduced dynamics. In particular, we consider a central qubit coupled to a quantum Ising ring in the transverse field. In this context, the information flux between system and environment is strongly affected by the environmental criticality; the qubit dynamics is shown to be Markovian exactly and only at the critical point. Therefore, non-Markovianity is an indicator of criticality in the model considered here.en
dc.description.sponsorshipFinnish Cultural Foundation (Science Workshop on Entanglement)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid60101
dc.identifier.citationHaikka, P., Goold, J., McEndoo, S., Plastina, F. and Maniscalco, S. (2012) 'Non-Markovianity, Loschmidt echo, and criticality: A unified picture', Physical Review A, 85(6), 060101 (4pp). doi: 10.1103/PhysRevA.85.060101en
dc.identifier.doi10.1103/PhysRevA.85.060101
dc.identifier.issn1050-2947
dc.identifier.issued6
dc.identifier.journaltitlePhysical Review Aen
dc.identifier.urihttps://hdl.handle.net/10468/4499
dc.identifier.volume85
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.projectinfo:eu-repo/grantAgreement/EC/FP7::SP3::PEOPLE/229520/EU/IRCSET International Mobility Fellowships in Science Engineering and Technology: co-funded by Marie Curie Actions/INSPIRE
dc.relation.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.85.060101
dc.rights© 2012, American Physical Societyen
dc.subjectNon-Markovianityen
dc.subjectLoschmidt echoen
dc.subjectTwo-level systemen
dc.subjectQubiten
dc.subjectQuantum Ising ringen
dc.titleNon-Markovianity, Loschmidt echo, and criticality: a unified pictureen
dc.typeArticle (peer-reviewed)en
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