Unusual area-law violation in random inhomogeneous systems

Alba, Vincenzo, Santalla, Silvia N., Ruggiero, Paola, Rodriguez-Laguna, Javier, Calabrese, Pasquale y Sierra, German . (2019) Unusual area-law violation in random inhomogeneous systems. Journal of Statistical Mechanics: Theory and Experiment


Título Unusual area-law violation in random inhomogeneous systems
Autor(es) Alba, Vincenzo
Santalla, Silvia N.
Ruggiero, Paola
Rodriguez-Laguna, Javier
Calabrese, Pasquale
Sierra, German
Materia(s) Física
Abstract The discovery of novel entanglement patterns in quantum manybody systems is a prominent research direction in contemporary physics. Here we provide the example of a spin chain with random and inhomogeneous couplings that in the ground state exhibits a very unusual area-law violation. In the clean limit, i.e. without disorder, the model is the rainbow chain and has volume law entanglement. We show that, in the presence of disorder, the entanglement entropy exhibits a power-law growth with the subsystem size, with an exponent 1/2. By employing the strong disorder renormalization group (SDRG) framework, we show that this exponent is related to the survival probability of certain random walks. The ground state of the model exhibits extended regions of short-range singlets (that we term ‘bubble’ regions) as well as rare long range singlet (‘rainbow’ regions). Crucially, while the probability of extended rainbow regions decays exponentially with their size, that of the bubble regions is power law. We provide strong numerical evidence for the correctness of SDRG results by exploiting the free-fermion solution of the model. Finally, we investigate the role of interactions by considering the random inhomogeneous XXZ spin chain. Within the SDRG framework and in the strong inhomogeneous limit, we show that the above area-law violation takes place only at the free-fermion point of phase diagram. This point divides two extended regions, which exhibit volume-law and area-law entanglement, respectively.
Palabras clave disordered spin chains
entanglement entropies
entanglement in extended quantum systems
spin chains
ladders and planes
Editor(es) IOPScience
Fecha 2019-02-26
Formato application/pdf
Identificador bibliuned:DptoFF-FCIE-Articulos-Jrodriguez-0003
http://e-spacio.uned.es/fez/view/bibliuned:DptoFF-FCIE-Articulos-Jrodriguez-0003
DOI - identifier 10.1088/1742-5468/ab02df
ISSN - identifier 1742-5468
Nombre de la revista Journal of Statistical Mechanics: Theory and Experiment
Publicado en la Revista Journal of Statistical Mechanics: Theory and Experiment
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/ab02df

Tipo de documento: Artículo de revista
Collections: Departamento de Física Fundamental (UNED). Artículos
Set de artículo
Set de openaire
 
Versiones
Versión Tipo de filtro
Contador de citas: Google Scholar Search Google Scholar
Estadísticas de acceso: 27 Visitas  -  Estadísticas en detalle
Creado: Thu, 01 Feb 2024, 01:36:39 CET