Sublogarithmic behaviour of the entanglement entropy in fermionic chains

Ares, Filiberto and Esteve, José and Falceto, Fernando and Zimborás, Zoltán (2019) Sublogarithmic behaviour of the entanglement entropy in fermionic chains. Journal of Statistical Mechanics: Theory and Experiment. ISSN 1742-5468 (In Press)


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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.

Item Type: Article
Subjects: Q Science / természettudomány > QC Physics / fizika
Depositing User: Dr Zoltán Zimborás
Date Deposited: 26 Sep 2019 04:00
Last Modified: 26 Sep 2019 04:00

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