This paper presents a theoretical investigation of the presence of acceleration islands in the phase space of doublekicked rotor(DKR) systems, which can lead to superdiffusive behavior. We establish the conditions for...This paper presents a theoretical investigation of the presence of acceleration islands in the phase space of doublekicked rotor(DKR) systems, which can lead to superdiffusive behavior. We establish the conditions for the existence of period-1 acceleration centers and subsequently calculate the stability conditions for both period-1 and period-2 accelerate mode islands. A detailed analysis of local and global diffusion in the vicinity of the islands and the stickiness regions is provided. It is demonstrated that the mean stickiness time decays exponentially when the phase point is located in the interior of the island. Moreover, the phase point undergoes a power-law decay with a power equal to approximately 5when entering the sticky region. These findings offer a foundation for future exploration of quantum dynamics in the DKR system.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 12005024)the Fundamental Research Funds for the Central Universities (Grant No. 2019XDA10)。
文摘This paper presents a theoretical investigation of the presence of acceleration islands in the phase space of doublekicked rotor(DKR) systems, which can lead to superdiffusive behavior. We establish the conditions for the existence of period-1 acceleration centers and subsequently calculate the stability conditions for both period-1 and period-2 accelerate mode islands. A detailed analysis of local and global diffusion in the vicinity of the islands and the stickiness regions is provided. It is demonstrated that the mean stickiness time decays exponentially when the phase point is located in the interior of the island. Moreover, the phase point undergoes a power-law decay with a power equal to approximately 5when entering the sticky region. These findings offer a foundation for future exploration of quantum dynamics in the DKR system.
