Impact of Dual Noise on Dynamic Localization in the Kick Rotor Model

The Kick rotor model is a common dynamic foundation model used to study classical and quantum chaos behavior. This model possesses rich dynamic properties; chaos phenomena occur in classical cases, and dynamic localization occurs in quantum cases. Research on the dynamic localization of the Kick rotor model helps people further understand the properties of quantum chaos and decoherence. In order to further study the influence of noise on the dynamic properties of the system, this paper introduces colored noise as amplitude noise on the basis of the study of the impact of Levy noise on the dynamic localization of the Kick rotor model. The influence of dual noise, including temporal noise (Levy noise) and amplitude noise (colored noise), on the dynamic localization of the Kick rotor model is studied, providing a possible path to further suppress the growth rate of decoherence.