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Piercing the rainbow state: Entanglement on an inhomogeneous spin chain with a defect

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dc.contributor.authorSáenz de Buruaga, Nadir Samos
dc.contributor.authorSantalla, Silvia N.
dc.contributor.authorSierra, Germán
dc.contributor.authorRodríguez Laguna, Javier
dc.date.accessioned2024-05-20T11:28:10Z
dc.date.available2024-05-20T11:28:10Z
dc.date.issued2021-05-15
dc.description.abstractThe rainbow state denotes a set of valence bond states organized concentrically around the center of a spin 1/2 chain. It is the ground state of an inhomogeneous XX Hamiltonian and presents a maximal violation of the area law of entanglement entropy. Here, we add a tunable exchange coupling constant at the center, γ , and show that it induces entanglement transitions of the ground state. At very strong inhomogeneity, the rainbow state survives for 0≤γ≤1 , while outside that region the ground state is a product of dimers. In the weak inhomogeneity regime, the entanglement entropy satisfies a volume law, derived from CFT in curved space-time, with an effective central charge that depends on the inhomogeneity parameter and γ . In all regimes we have found that the entanglement properties are invariant under the transformation γ ⟷ 1 − γ , whose fixed point γ = 1 / 2 corresponds to the usual rainbow model. Finally, we study the robustness of nontrivial topological phases in the presence of the defect.en
dc.description.versionversión publicada
dc.identifier.doi10.1103/PhysRevB.101.205121
dc.identifier.issn2469-9969
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12053
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.rights.uriinfo:eu-repo/semantics/openAccess
dc.titlePiercing the rainbow state: Entanglement on an inhomogeneous spin chain with a defectes
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublicationf24eca7b-6fab-4a61-b10e-eb2f58e6342b
relation.isAuthorOfPublication.latestForDiscoveryf24eca7b-6fab-4a61-b10e-eb2f58e6342b
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