Statistical complexity of the kicked top model considering chaos

TL;DR

This paper investigates the statistical complexity of the classical kicked top model, linking chaos, entanglement, and phase space distributions to distinguish regular and chaotic dynamics.

Contribution

It introduces a novel application of statistical complexity to analyze the chaotic properties of the kicked top and rotor models in phase space.

Findings

Statistical complexity varies with excitation strength.

Distinguishes regular, random, and structural complexities.

Provides insights into chaos and entanglement in driven systems.

Abstract

The concept of statistical complexity is studied to characterize the classical kicked top model which plays important role in the qbit systems and the chaotic properties of the entanglement. This allows us to understand this driven dynamical system by the probability distribution in phase space to make distinctions among the regular, random and structural complexity on finite simulation. We present the dependence of the kicked top and kicked rotor model through the strength excitation in the framework of statistical complexity.