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dc.contributor.authorSwingle, Brian Gordon
dc.date.accessioned2012-08-28T17:15:27Z
dc.date.available2012-08-28T17:15:27Z
dc.date.issued2012-07
dc.date.submitted2012-06
dc.identifier.issn1098-0121
dc.identifier.issn1550-235X
dc.identifier.urihttp://hdl.handle.net/1721.1/72374
dc.description.abstractWe compute the leading contribution to the ground-state Rényi entropy S[subscript α] for a region of linear size L in a Fermi liquid in d dimensions. The result contains a universal boundary law violating term simply related to the more familiar entanglement entropy. We also obtain a universal crossover function that smoothly interpolates between the zero-temperature result and the ordinary thermal Rényi entropy of a Fermi liquid. Formulas for the entanglement entropy of more complicated regions, including nonconvex and disconnected regions, are obtained from the conformal field theory formulation of Fermi surface dynamics. These results permit an evaluation of the quantum mutual information between different regions in a Fermi liquid. We also study the number fluctuations in a Fermi liquid. Taken together, these results give a reasonably complete characterization of the low-energy quantum information content of Fermi liquids.en_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevB.86.045109en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAPSen_US
dc.titleRényi entropy, mutual information, and fluctuation properties of Fermi liquidsen_US
dc.typeArticleen_US
dc.identifier.citationSwingle, Brian. “Rényi Entropy, Mutual Information, and Fluctuation Properties of Fermi Liquids.” Physical Review B 86.4 (2012). ©2012 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.approverSwingle, Brian Gordon
dc.contributor.mitauthorSwingle, Brian Gordon
dc.relation.journalPhysical Review Ben_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsSwingle, Brianen
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


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