Non-Markovianity, Loschmidt echo, and criticality: a unified picture
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.contributor.funder | Emil Aaltosen Säätiö | |
dc.contributor.funder | Suomen Kulttuurirahasto | |
dc.contributor.funder | FP7 People: Marie-Curie Actions | |
dc.date.accessioned | 2017-08-22T10:30:37Z | |
dc.date.available | 2017-08-22T10:30:37Z | |
dc.date.issued | 2012 | |
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.description.status | Peer reviewed | en |
dc.description.version | Published Version | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.articleid | 60101 | |
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.doi | 10.1103/PhysRevA.85.060101 | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.issued | 6 | |
dc.identifier.journaltitle | Physical Review A | en |
dc.identifier.uri | https://hdl.handle.net/10468/4499 | |
dc.identifier.volume | 85 | |
dc.language.iso | en | en |
dc.publisher | American Physical Society | en |
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 | |
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 |
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