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

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dc.contributor.author Campbell, Steve
dc.contributor.author Richens, Jonathan
dc.contributor.author Lo Gullo, Nicola
dc.contributor.author Busch, Thomas
dc.date.accessioned 2017-08-22T08:56:57Z
dc.date.available 2017-08-22T08:56:57Z
dc.date.issued 2013
dc.identifier.citation Campbell, 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.88.062305 en
dc.identifier.volume 88
dc.identifier.issued 6
dc.identifier.issn 2469-9926
dc.identifier.issn 2469-9934
dc.identifier.uri http://hdl.handle.net/10468/4485
dc.identifier.doi 10.1103/PhysRevA.88.062305
dc.description.abstract We 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.sponsorship Ministero dell’Istruzione, dell’Università e della Ricerca (FIRB (2012 RBFR12NLNA) 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.88.062305
dc.rights © 2013, American Physical Society en
dc.subject Statistical-mechanics en
dc.subject Broken symmetry en
dc.subject Critical-point en
dc.subject Quantum en
dc.subject Entanglement en
dc.subject State en
dc.title Criticality, factorization, and long-range correlations in the anisotropic XY model en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Thomas Busch, Physics, University College Cork, Cork, Ireland. +353-21-490-3000. Email: thbusch@phys.ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:000328568500001
dc.contributor.funder Engineering and Physical Sciences Research Council
dc.contributor.funder Ministero dell’Istruzione, dell’Università e della Ricerca
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review A en
dc.internal.IRISemailaddress thbusch@phys.ucc.ie en
dc.identifier.articleid 62305


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