Accelerator-mode islands and superdiffusion in double-kicked rotor
Fengdi Wang(王风涤)1 and Ping Fang(方萍)1,2,†
1 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; 2 State Key Laboratory of Information Photonics and Optical Communications, Beijing 100876, China
Abstract This paper presents a theoretical investigation of the presence of acceleration islands in the phase space of double-kicked 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 5 when entering the sticky region. These findings offer a foundation for future exploration of quantum dynamics in the DKR system.
Fengdi Wang(王风涤) and Ping Fang(方萍) Accelerator-mode islands and superdiffusion in double-kicked rotor 2023 Chin. Phys. B 32 060504
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