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

Sáenz de Buruaga, Nadir Samos, Santalla, Silvia N., Rodríguez-Laguna, Javier y Sierra, Germán . (2021) Piercing the rainbow state: Entanglement on an inhomogeneous spin chain with a defect. PHYSICAL REVIEW B, 101

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Título Piercing the rainbow state: Entanglement on an inhomogeneous spin chain with a defect
Autor(es) Sáenz de Buruaga, Nadir Samos
Santalla, Silvia N.
Rodríguez-Laguna, Javier
Sierra, Germán
Materia(s) Física
Abstract The 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.
Editor(es) American Physical Society
Fecha 2021-05-15
Formato application/pdf
Identificador bibliuned:DptoFF-FCIE-Articulos-Jrodriguez-0006
http://e-spacio.uned.es/fez/view/bibliuned:DptoFF-FCIE-Articulos-Jrodriguez-0006
DOI - identifier 10.1103/PhysRevB.101.205121
ISSN - identifier 2469-9969
Nombre de la revista PHYSICAL REVIEW B
Número de Volumen 101
Publicado en la Revista PHYSICAL REVIEW B, 101
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales The registered version of this article, first published in PHYSICAL REVIEW B, is available online at the publisher's website: American Physical Society, https://doi.org/10.1103/PhysRevB.101.205121

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Creado: Thu, 01 Feb 2024, 02:08:52 CET