Criticality, factorization, and long-range correlations in the anisotropic XY model

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dc.contributor.authorCampbell, Steve
dc.contributor.authorRichens, Jonathan
dc.contributor.authorLo Gullo, Nicola
dc.contributor.authorBusch, Thomas
dc.contributor.funderEngineering and Physical Sciences Research Council
dc.contributor.funderMinistero dell’Istruzione, dell’Università e della Ricerca
dc.date.accessioned2017-08-22T08:56:57Z
dc.date.available2017-08-22T08:56:57Z
dc.date.issued2013
dc.description.abstractWe study the long-range quantum correlations in the anisotropic XY model. By first examining the thermodynamic limit, we show that employing the quantum discord as a figure of merit allows one to capture the main features of the model at zero temperature. Furthermore, by considering suitably large site separations we find that these correlations obey a simple scaling behavior for finite temperatures, allowing for efficient estimation of the critical point. We also address ground-state factorization of this model by explicitly considering finite-size systems, showing its relation to the energy spectrum and explaining the persistence of the phenomenon at finite temperatures. Finally, we compute the fidelity between finite and infinite systems in order to show that remarkably small system sizes can closely approximate the thermodynamic limit.en
dc.description.sponsorshipMinistero dell’Istruzione, dell’Università e della Ricerca (FIRB (2012 RBFR12NLNA)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid62305
dc.identifier.citationCampbell, S., Richens, J., Gullo, N. L. and Busch, T. (2013) 'Criticality, factorization, and long-range correlations in the anisotropic XY model', Physical Review A, 88(6), 062305. (8pp). doi: 10.1103/PhysRevA.88.062305en
dc.identifier.doi10.1103/PhysRevA.88.062305
dc.identifier.issn2469-9926
dc.identifier.issn2469-9934
dc.identifier.issued6
dc.identifier.journaltitlePhysical Review Aen
dc.identifier.urihttps://hdl.handle.net/10468/4485
dc.identifier.volume88
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.062305
dc.rights© 2013, American Physical Societyen
dc.subjectStatistical-mechanicsen
dc.subjectBroken symmetryen
dc.subjectCritical-pointen
dc.subjectQuantumen
dc.subjectEntanglementen
dc.subjectStateen
dc.titleCriticality, factorization, and long-range correlations in the anisotropic XY modelen
dc.typeArticle (peer-reviewed)en
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