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

Show simple item record

dc.contributor.author Haikka, P.
dc.contributor.author Goold, John
dc.contributor.author McEndoo, Suzanne
dc.contributor.author Plastina, F.
dc.contributor.author Maniscalco, S.
dc.date.accessioned 2017-08-22T10:30:37Z
dc.date.available 2017-08-22T10:30:37Z
dc.date.issued 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.uri http://hdl.handle.net/10468/4499
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.relation.uri https://journals.aps.org/pra/abstract/10.1103/PhysRevA.85.060101
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: jgoold@phys.ucc.ie 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 jgoold@phys.ucc.ie 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


Files in this item

This item appears in the following Collection(s)

Show simple item record

This website uses cookies. By using this website, you consent to the use of cookies in accordance with the UCC Privacy and Cookies Statement. For more information about cookies and how you can disable them, visit our Privacy and Cookies statement