Deterministic chaos and fractal entropy scaling in Floquet conformal field theories
| Autor: | Andrey A. Bagrov, Askar A. Iliasov, Dmitry S. Ageev |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Floquet theory
Other Physics Topics Theory of Condensed Matter CONFORMAL FIELD THEORIES Conformal map 02 engineering and technology Tent map 01 natural sciences FRACTAL FEATURE ORDER-CHAOS TRANSITIONS DETERMINISTIC CHAOS Fractal Chaotic systems 0103 physical sciences Sociology ENTROPY SCALING 010306 general physics Scaling LOGISTIC MAPS Hausdorff space ENTROPY QUANTUM ENTANGLEMENT Annan fysik CHAOTIC SYSTEMS DYNAMICAL SYSTEM APPROACHES Condensed Matter Physics 021001 nanoscience & nanotechnology CONFORMAL MAPPING FRACTALS ENTANGLEMENT ENTROPY 0210 nano-technology Den kondenserade materiens fysik Mathematical economics |
| Zdroj: | Physical Review B, 103 Phys. Rev. B Physical Review B Physical Review B, 103, 10 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.103.l100302 |
| Popis: | 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. 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. |
| Databáze: | OpenAIRE |
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