On the Möbius transformation in the entanglement entropy of fermionic chains

Ares, Filiberto (Universidad de Zaragoza) ; Esteve, José G. (Universidad de Zaragoza) ; Falceto, Fernando (Universidad de Zaragoza) ; de Queiroz, Amilcar R.

Resumen: There is an intimate relation between entanglement entropy and Riemann surfaces. This fact is explicitly noticed for the case of quadratic fermionic Hamiltonians with finite range couplings. After recollecting this fact, we make a comprehensive analysis of the action of the Möbius transformations on the Riemann surface. We are then able to uncover the origin of some symmetries and dualities of the entanglement entropy already noticed recently in the literature. These results give further support for the use of entanglement entropy to analyse phase transitions.

Idioma: Inglés

DOI: 10.1088/1742-5468/2016/04/043160

Año: 2016

Publicado en: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 2016, April (2016), 043106 [25 pp.]
ISSN: 1742-5468

Factor impacto JCR: 2.196 (2016)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 8 / 55 = 0.145 (2016) - Q1 - T1
Categ. JCR: MECHANICS rank: 38 / 133 = 0.286 (2016) - Q2 - T1

Factor impacto SCIMAGO: 0.581 - Statistical and Nonlinear Physics (Q3) - Statistics, Probability and Uncertainty (Q3) - Statistics and Probability (Q3)

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

Tipo y forma: Artículo (PostPrint)

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