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

Show simple item record Haikka, P. Goold, John McEndoo, Suzanne Plastina, F. Maniscalco, S. 2017-08-22T10:30:37Z 2017-08-22T10:30:37Z 2012
dc.identifier.citation Haikka, 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.85.060101 en
dc.identifier.volume 85
dc.identifier.issued 6
dc.identifier.issn 1050-2947
dc.identifier.doi 10.1103/PhysRevA.85.060101
dc.description.abstract A 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.sponsorship Finnish Cultural Foundation (Science Workshop on Entanglement) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.rights © 2012, American Physical Society en
dc.subject Non-Markovianity en
dc.subject Loschmidt echo en
dc.subject Two-level system en
dc.subject Qubit en
dc.subject Quantum Ising ring en
dc.title Non-Markovianity, Loschmidt echo, and criticality: a unified picture en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother John Goold, Physics, University College Cork, Cork, Ireland. +353-21-490-3000 Email: en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:000305023400001
dc.contributor.funder Emil Aaltosen Säätiö
dc.contributor.funder Suomen Kulttuurirahasto
dc.contributor.funder FP7 People: Marie-Curie Actions
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review A en
dc.internal.IRISemailaddress en
dc.identifier.articleid 60101
dc.relation.project info: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

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