Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102962
Title: Deterministic chaos and fractal entropy scaling in Floquet conformal field theories
Authors: Ageev, D. S.
Bagrov, A. A.
Iliasov, A. A.
Issue Date: 2021
Publisher: American Physical Society
Citation: Ageev D. S. Deterministic chaos and fractal entropy scaling in Floquet conformal field theories / D. S. Ageev, A. A. Bagrov, A. A. Iliasov. — DOI 10.1103/PhysRevB.103.L100302 // Physical Review B. — 2021. — Vol. 103. — Iss. 10. — L100302.
Abstract: In this Letter, we study two-dimensional Floquet conformal field theory, where the external periodic driving is described by iterated logistic or tent maps. These maps are known to be typical examples of dynamical systems exhibiting the order-chaos transition, and we show that, as a result of such driving, the entanglement entropy scaling develops fractal features when the corresponding dynamical system approaches the chaotic regime. For the driving set by the logistic map, the fractal contribution to the scaling dominates, making entanglement entropy a highly oscillating function of the subsystem size. © 2021 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by "https://www.kb.se/samverkan-och-utveckling/oppen-tillgang-och-bibsamkonsortiet/bibsamkonsortiet.html"Bibsam.
Keywords: CHAOTIC SYSTEMS
CONFORMAL MAPPING
ENTROPY
FRACTALS
CONFORMAL FIELD THEORIES
DETERMINISTIC CHAOS
DYNAMICAL SYSTEM APPROACHES
ENTANGLEMENT ENTROPY
ENTROPY SCALING
FRACTAL FEATURE
LOGISTIC MAPS
ORDER-CHAOS TRANSITIONS
QUANTUM ENTANGLEMENT
URI: http://hdl.handle.net/10995/102962
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85104266514
PURE ID: 21178579
d0cf9eb8-bcaf-4f84-b169-f4efc86e9570
ISSN: 24699950
DOI: 10.1103/PhysRevB.103.L100302
metadata.dc.description.sponsorship: We would like to thank P. Caputa for valuable comments on the first version of the manuscript and M. I. Katsnelson, B. Lapierre, and X. Wen for useful discussions. The work of D.S.A., which consisted in designing the project and computing the energy and entanglement evolution for the tent map, was supported by the Russian Science Foundation through Grant No. 17-71-20154 and performed at the Steklov Mathematical Institute of Russian Academy of Sciences. The work of A.A.B., who computed the Hausdorff dimensions of the entropy curves and wrote the manuscript, was supported by the Russian Science Foundation through Grant No. 18-12-00185. A.A.I. acknowledges financial support from Dutch Science Foundation NWO/FOM under Grant No. 16PR1024. The work was partially supported by the Knut and Alice Wallenberg Foundation through Grant No. 2018.0060.
RSCF project card: 17-71-20154
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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