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 order-chaos transition, and show that, as a result such driving, entanglement entropy scaling develops fractal features when corresponding system approaches chaotic regime. For set map, contribution dominates, making highly oscillating function subsystem size.