Entanglement entropy in the long-range Kitaev chain

Ares, F. (Universidad de Zaragoza) ; García Esteve, J. (Universidad de Zaragoza) ; Falceto, F. (Universidad de Zaragoza) ; de Queiroz, A.R.

Resumen: In this paper we complete the study on the asymptotic behavior of the entanglement entropy for Kitaev chains with long-range pairing. We discover that when the couplings decay with the distance with a critical exponent new properties for the asymptotic growth of the entropy appear. The coefficient of the leading term is not universal any more and the connection with conformal field theories is lost. We perform a numerical and analytical approach to the problem showing a perfect agreement. In order to carry out the analytical study, a technique for computing the asymptotic behavior of block Toeplitz determinants with discontinuous symbols has been developed.

Idioma: Inglés

DOI: 10.1103/PhysRevA.97.062301

Año: 2018

Publicado en: Physical Review A 97, 6 (2018), 062301 [8 pp]
ISSN: 2469-9926

Factor impacto JCR: 2.907 (2018)

Categ. JCR: PHYSICS, ATOMIC, MOLECULAR & CHEMICAL rank: 13 / 36 = 0.361 (2018) - Q2 - T2
Categ. JCR: OPTICS rank: 28 / 95 = 0.295 (2018) - Q2 - T1

Factor impacto SCIMAGO: 1.268 - Atomic and Molecular Physics, and Optics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGIID-DGA/2016-E24-2
Financiación: info:eu-repo/grantAgreement/ES/FPI/C070-2014
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)