Engineering large end-to-end correlations in finite fermionic chains

Santos, Hernán, Alvarellos, José E. y Rodríguez-Laguna, Javier . (2018) Engineering large end-to-end correlations in finite fermionic chains. Physical Review B, 98, 245121-1 -- 245121-11 (2018) [11 pages]

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Título Engineering large end-to-end correlations in finite fermionic chains
Autor(es) Santos, Hernán
Alvarellos, José E.
Rodríguez-Laguna, Javier
Materia(s) Física
Abstract We explore deformations of finite chains of noninteracting fermions at half-filling which give rise to large correlations between their extremes. After a detailed study of the Su-Schrieffer-Heeger model, the tradeoff curve between end-to-end correlations and the energy gap of the chains is obtained using machine-learning techniques, paying special attention to the scaling behavior with the chain length.We find that edge-dimerized chains, where the second and penultimate hoppings are reinforced, are very often close to the optimal configurations. Our results allow us to conjecture that, given a fixed gap, the maximal attainable correlation falls exponentially with the system size. Study of the entanglement entropy and contour of the optimal configurations suggest that the bulk entanglement pattern is minimally modified from the clean case.
Editor(es) American Physical Society.
Fecha 2018-12-14
Formato application/pdf
Identificador bibliuned:DptoFF-FCIE-Articulos-Jealvarellos-0008
http://e-spacio.uned.es/fez/view/bibliuned:DptoFF-FCIE-Articulos-Jealvarellos-0008
DOI - identifier 10.1140/epjd/e2018-90453-7
ISSN - identifier 2469-9969
Nombre de la revista PHYSICAL REVIEW B
Número de Volumen 98
Publicado en la Revista Physical Review B, 98, 245121-1 -- 245121-11 (2018) [11 pages]
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
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/10.1140/epjd/e2018-90453-7

Tipo de documento: Artículo de revista
Collection: Departamento de Física Fundamental (UNED). Artículos
 
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