Sublogarithmic behaviour of the entanglement entropy in fermionic chains

Ares, Filiberto ; Esteve, José G. (Universidad de Zaragoza) ; Falceto, Fernando (Universidad de Zaragoza) ; Zimborás, Zoltan

Resumen: In this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the Rényi entanglement entropy for the ground state of long-range Kitaev chains with slow decaying couplings. We obtain that, under some circumstances, the entropy grows sublogarithmically with the length of the subsystem. Our result is based on the asymptotic behaviour of a new class of Toeplitz determinants whose symbol does not lie within the application domain of the Strong Szegő theorem or the Fisher–Hartwig conjecture.

Idioma: Inglés

DOI: 10.1088/1742-5468/ab38b6

Año: 2019

Publicado en: Journal of Statistical Mechanics: Theory and Experiment 2019, 9 (2019), 093105 [24 pp.]
ISSN: 1742-5468

Factor impacto JCR: 2.215 (2019)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 11 / 55 = 0.2 (2019) - Q1 - T1
Categ. JCR: MECHANICS rank: 63 / 136 = 0.463 (2019) - Q2 - T2

Factor impacto SCIMAGO: 0.486 - Statistical and Nonlinear Physics (Q3) - Statistics, Probability and Uncertainty (Q3) - Statistics and Probability (Q3)

Tipo y forma: Article (PostPrint)

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