Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems

Tonni, Erik, Rodríguez-Laguna, Javier y Sierra, Germán . (2018) Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems. Journal of Statistical Mechanics: Theory and Experiment, Volume 2018, April 2018


Título Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
Autor(es) Tonni, Erik
Rodríguez-Laguna, Javier
Sierra, Germán
Materia(s) Física
Abstract Inhomogeneous 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.
Editor(es) IOPScience
Fecha 2018-04
Identificador bibliuned:DptoFF-FCIE-Articulos-Jrodriguez-0005
http://e-spacio.uned.es/fez/view/bibliuned:DptoFF-FCIE-Articulos-Jrodriguez-0005
DOI - identifier 10.1088/1742-5468/aab67d
ISSN - identifier 1742-5468
Nombre de la revista Journal of Statistical Mechanics: Theory and Experiment
Número de Volumen 2018
Publicado en la Revista Journal of Statistical Mechanics: Theory and Experiment, Volume 2018, April 2018
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia info:eu-repo/semantics/embargoedAccess
Tipo de acceso Acceso embargado
Notas adicionales The registered version of this article, first published in Journal of Statistical Mechanics: Theory and Experiment, is available online at the publisher's website: IOPScience, https://doi.org/10.1088/1742-5468/aab67d

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Creado: Thu, 01 Feb 2024, 01:59:25 CET