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  • Letter
  • Open Access

Deterministic chaos and fractal entropy scaling in Floquet conformal field theories

Dmitry S. Ageev1,*, Andrey A. Bagrov2,3,†, and Askar A. Iliasov4,5,‡

  • 1Steklov Mathematical Institute, Russian Academy of Sciences, Gubkin Street 8, Moscow 119991, Russia
  • 2Department of Physics and Astronomy, Uppsala University, Box 516, SE-75120 Uppsala, Sweden
  • 3Theoretical Physics and Applied Mathematics Department, Ural Federal University, Mira Str. 19, 620002 Ekaterinburg, Russia
  • 4Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, NL-6525 AJ Nijmegen, The Netherlands
  • 5Space Research Institute of the Russian Academy of Science, Moscow 117997, Russia

  • *ageev@mi-ras.ru
  • †andrey.bagrov@physics.uu.se
  • ‡a.iliasov@science.ru.nl
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Phys. Rev. B 103, L100302 – Published 26 March, 2021

DOI: https://doi.org/10.1103/PhysRevB.103.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.

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Phys. Rev. B 103, L100302– Published 26 March, 2021
  • Received 27 July 2020
  • Revised 3 March 2021
  • Accepted 8 March 2021
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