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Entanglement as geometry and flow

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dc.contributor.authorSingha Roy, Sudipto
dc.contributor.authorSantalla, Silvia N.
dc.contributor.authorSierra, Germán
dc.contributor.authorRodríguez Laguna, Javier
dc.date.accessioned2024-05-20T11:28:03Z
dc.date.available2024-05-20T11:28:03Z
dc.date.issued2020-05-20
dc.description.abstractWe explore the connection between the area law for entanglement and geometry by representing the entanglement entropies corresponding to all 2 N bipartitions of an N -party pure quantum system by means of a (generalized) adjacency matrix. In the cases where the representation is exact, the elements of that matrix coincide with the mutual information between pairs of sites. In others, it provides a very good approximation, and in all the cases it yields a natural entanglement contour which is similar to previous proposals. Moreover, for one-dimensional conformal invariant systems, the generalized adjacency matrix is given by the two-point correlator of an entanglement current operator. We conjecture how this entanglement current may give rise to a metric entirely built from entanglement.en
dc.description.versionversión publicada
dc.identifier.doihttp://doi.org/10.1088/1742-5468/aab67d
dc.identifier.issn2469-9969
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12049
dc.journal.titlePHYSICAL REVIEW B
dc.journal.volume101
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.centerFacultad de Ciencias
dc.relation.departmentFísica Fundamental
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleEntanglement as geometry and flowes
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
relation.isAuthorOfPublicationf24eca7b-6fab-4a61-b10e-eb2f58e6342b
relation.isAuthorOfPublication.latestForDiscoveryf24eca7b-6fab-4a61-b10e-eb2f58e6342b
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