A duality principle for the multi-block entanglement entropy of free fermion systems

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dc.contributor.authorCarrasco, J. A.
dc.contributor.authorFinkel Morgenstern, Federico
dc.contributor.authorGonzález López, Artemio
dc.contributor.authorTempesta, Piergiulio
dc.date.accessioned2023-06-17T22:12:52Z
dc.date.available2023-06-17T22:12:52Z
dc.date.issued2017-09-11
dc.description© The Author(s) 2017. Tis work was partially supported by Spain’s MINECO under research grant no. FIS2015-63966-P. PT has been partly supported by the ICMAT Severo Ochoa project SEV-2015-0554 (MINECO, Spain). JAC would also like to acknowledge the fnancial support of the Universidad Complutense de Madrid through a 2015 predoctoral scholarship.
dc.description.abstractThe analysis of the entanglement entropy of a subsystem of a one-dimensional quantum system is a powerful tool for unravelling its critical nature. For instance, the scaling behaviour of the entanglement entropy determines the central charge of the associated Virasoro algebra. For a free fermion system, the entanglement entropy depends essentially on two sets, namely the set A of sites of the subsystem considered and the set K of excited momentum modes. In this work we make use of a general duality principle establishing the invariance of the entanglement entropy under exchange of the sets A and K to tackle complex problems by studying their dual counterparts. The duality principle is also a key ingredient in the formulation of a novel conjecture for the asymptotic behavior of the entanglement entropy of a free fermion system in the general case in which both sets A and K consist of an arbitrary number of blocks. We have verified that this conjecture reproduces the numerical results with excellent precision for all the configurations analyzed. We have also applied the conjecture to deduce several asymptotic formulas for the mutual and r-partite information generalizing the known ones for the single block case.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipICMAT Severo Ochoa
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/45351
dc.identifier.doi10.1038/s41598-017-09550-1
dc.identifier.issn2045-2322
dc.identifier.officialurlhttp://dx.doi.org/10.1038/s41598-017-09550-1
dc.identifier.relatedurlhttps://www.nature.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/18225
dc.journal.titleScientific reports
dc.language.isoeng
dc.publisherNature Publishing Group
dc.relation.projectIDFIS2015-63966-P
dc.relation.projectIDSEV-2015-0554
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu51-73
dc.subject.keywordSpin chain
dc.subject.keywordToeplitz determinants
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleA duality principle for the multi-block entanglement entropy of free fermion systems
dc.typejournal article
dc.volume.number7
dspace.entity.typePublication
relation.isAuthorOfPublication207092a4-0443-4336-a037-15936f8acc25
relation.isAuthorOfPublication7f260dbe-eebb-4d43-8ba9-d8fbbd5b32fc
relation.isAuthorOfPublication46e9a666-a5cf-44c3-8726-7cbe2c61bd1a
relation.isAuthorOfPublication.latestForDiscovery207092a4-0443-4336-a037-15936f8acc25
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