Deterministic chaos and fractal entropy scaling in Floquet conformal field theories
Dmitry S. Ageev, Andrey A. Bagrov, Askar A. Iliasov
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.
Topics & Concepts
Floquet theoryStatistical physicsScalingFractalLogistic mapConformal field theoryConformal mapChaoticIterated function systemQuantum entanglementEntropy (arrow of time)MathematicsDynamical systems theoryChaotic scatteringPhysicsMathematical analysisQuantum mechanicsGeometryQuantumComputer scienceNonlinear systemArtificial intelligenceQuantum many-body systemsBlack Holes and Theoretical PhysicsTheoretical and Computational Physics