Deterministic chaos and fractal entropy scaling in Floquet conformal field theories

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 d...

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Bibliographic Details
Published in:Physical review. B 2021-03, Vol.103 (10), p.1, Article L100302
Main Authors: Ageev, Dmitry S., Bagrov, Andrey A., Iliasov, Askar A.
Format: Article
Language:English
Subjects:
Chaos theory
Dynamical systems
Entanglement
Entropy
Field theory
Fractals
Scaling
Subsystems
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Summary: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.
ISSN:2469-9950
2469-9969
2469-9969
DOI:10.1103/PhysRevB.103.L100302