Accelerator-mode islands and superdiffusion in double-kicked rotor

doi:10.1088/1674-1056/accb4b

中国物理B ›› 2023, Vol. 32 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/accb4b

所属专题： SPECIAL TOPIC — Celebrating the 100th Anniversary of Physics Discipline of Xiamen University

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

收稿日期:2023-02-21 修回日期:2023-03-23 接受日期:2023-04-07 出版日期:2023-05-17 发布日期:2023-06-05
通讯作者: Ping Fang E-mail:pingfang@bupt.edu.cn

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

Received:2023-02-21 Revised:2023-03-23 Accepted:2023-04-07 Online:2023-05-17 Published:2023-06-05
Contact: Ping Fang E-mail:pingfang@bupt.edu.cn

摘要/Abstract

摘要： 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.

关键词: superdiffuision, accelerator-mode islands, double-kicked rotor

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.

Key words: superdiffuision, accelerator-mode islands, double-kicked rotor

中图分类号: (Low-dimensional chaos)

05.45.Ac

05.60.Cd (Classical transport) 05.45.Mt (Quantum chaos; semiclassical methods) 45.05.+x (General theory of classical mechanics of discrete systems)

Fengdi Wang(王风涤) and Ping Fang(方萍). Accelerator-mode islands and superdiffusion in double-kicked rotor[J]. 中国物理B, 2023, 32(6): 60504-060504.

Fengdi Wang(王风涤) and Ping Fang(方萍). Accelerator-mode islands and superdiffusion in double-kicked rotor[J]. Chin. Phys. B, 2023, 32(6): 60504-060504.

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Accelerator-mode islands and superdiffusion in double-kicked rotor

Accelerator-mode islands and superdiffusion in double-kicked rotor

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