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Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems

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dc.contributor.authorTonni, Erik
dc.contributor.authorSierra, Germán
dc.contributor.authorRodríguez Laguna, Javier
dc.date.accessioned2024-05-20T11:27:58Z
dc.date.available2024-05-20T11:27:58Z
dc.date.issued2018-04
dc.description.abstractInhomogeneous quantum critical systems in one spatial dimension have been studied by using conformal field theory in static curved backgrounds. Two interesting examples are the free fermion gas in the harmonic trap and the inhomogeneous XX spin chain called rainbow chain. For conformal field theories defined on static curved spacetimes characterised by a metric which is Weyl equivalent to the flat metric, with the Weyl factor depending only on the spatial coordinate, we study the entanglement hamiltonian and the entanglement spectrum of an interval adjacent to the boundary of a segment where the same boundary condition is imposed at the endpoints. A contour function for the entanglement entropies corresponding to this configuration is also considered, being closely related to the entanglement hamiltonian. The analytic expressions obtained by considering the curved spacetime which characterises the rainbow model have been checked against numerical data for the rainbow chain, finding an excellent agreement.en
dc.description.versionversión publicada
dc.identifier.doihttp://doi.org/10.1088/1742-5468/aab67d
dc.identifier.issn1742-5468
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12046
dc.journal.titleJournal of Statistical Mechanics: Theory and Experiment
dc.journal.volume2018
dc.language.isoen
dc.publisherIOPScience
dc.relation.centerFacultad de Ciencias
dc.relation.departmentFísica Fundamental
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.titleEntanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systemses
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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