中国物理B ›› 2025, Vol. 34 ›› Issue (8): 80503-080503.doi: 10.1088/1674-1056/add509

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Chaos of cavity optomechanical system with Coulomb coupling

Yingjia Yang(杨应佳)1, Liwei Liu(刘利伟)1,†, Lianchun Yu(俞连春)2, Weizheng Kong(孔伟正)1, Haiyan Jiao(焦海燕)1, Xiaoyan Deng(邓小燕)1, and Xiaoyong Li(李小勇)1   

  1. 1 College of Electrical Engineering, Key Laboratory for Electronic Materials of Northwest Minzu University, Northwest Minzu University, Lanzhou 730000, China;
    2 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2025-03-31 修回日期:2025-05-06 接受日期:2025-05-07 出版日期:2025-07-17 发布日期:2025-08-19
  • 通讯作者: Liwei Liu E-mail:liuliw@xbmu.edu.cn
  • 基金资助:
    Project supported by Young Talents from Longyuan, Gansu Province (Liwei Liu), the Fundamental Research Funds for the Central Universities, Northwest Minzu University (Grant No. 31920230134), Teaching Achievement Cultivation Project of Gansu Province Department of Education (Grant No. 2022GSJXCGPY-46), Special research topic on curriculum and teaching materials for primary, secondary and higher schools, Gansu Province Department of Education (Grant No. GSJC-Y2024204), and Quality improvement project for undergraduate talent training, Northwest Minzu University (Grant Nos. 2024YBJG-04 and 2024FCTD-03).

Chaos of cavity optomechanical system with Coulomb coupling

Yingjia Yang(杨应佳)1, Liwei Liu(刘利伟)1,†, Lianchun Yu(俞连春)2, Weizheng Kong(孔伟正)1, Haiyan Jiao(焦海燕)1, Xiaoyan Deng(邓小燕)1, and Xiaoyong Li(李小勇)1   

  1. 1 College of Electrical Engineering, Key Laboratory for Electronic Materials of Northwest Minzu University, Northwest Minzu University, Lanzhou 730000, China;
    2 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2025-03-31 Revised:2025-05-06 Accepted:2025-05-07 Online:2025-07-17 Published:2025-08-19
  • Contact: Liwei Liu E-mail:liuliw@xbmu.edu.cn
  • Supported by:
    Project supported by Young Talents from Longyuan, Gansu Province (Liwei Liu), the Fundamental Research Funds for the Central Universities, Northwest Minzu University (Grant No. 31920230134), Teaching Achievement Cultivation Project of Gansu Province Department of Education (Grant No. 2022GSJXCGPY-46), Special research topic on curriculum and teaching materials for primary, secondary and higher schools, Gansu Province Department of Education (Grant No. GSJC-Y2024204), and Quality improvement project for undergraduate talent training, Northwest Minzu University (Grant Nos. 2024YBJG-04 and 2024FCTD-03).

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摘要： This study theoretically investigates chaos in a cavity optomechanical system with Coulomb coupling. The system consists of a Fabry-Pérot cavity with a movable mirror, where Coulomb interactions arise from charging the two movable mirrors. We examine the chaotic dynamics under the influence of both single and bichromatic laser fields. The single laser field represents a system driven exclusively by the pump field, whereas the bichromatic field represents simultaneous driving by both the pump and probe fields. In addition to conventional chaos-inducing methods through parameter variations, we demonstrate that increasing the Coulomb coupling strength enhances the system's nonlinearity and induces chaotic behavior. Furthermore, we propose several strategies for generating and controlling chaos, while also identifying the parameter ranges necessary for the resonance of the two mechanical oscillators. Interestingly, when adjusting the driving power in a system driven solely by the pump field, we unexpectedly observe the emergence of high-order sidebands. These findings contribute to the development of chaotic behavior in future cavity optomechanical systems and provide a theoretical basis for applications in physical random number generation and secure communication.

关键词: cavity optomechanical system, Coulomb coupling, chaos, period bifurcation

Abstract: This study theoretically investigates chaos in a cavity optomechanical system with Coulomb coupling. The system consists of a Fabry-Pérot cavity with a movable mirror, where Coulomb interactions arise from charging the two movable mirrors. We examine the chaotic dynamics under the influence of both single and bichromatic laser fields. The single laser field represents a system driven exclusively by the pump field, whereas the bichromatic field represents simultaneous driving by both the pump and probe fields. In addition to conventional chaos-inducing methods through parameter variations, we demonstrate that increasing the Coulomb coupling strength enhances the system's nonlinearity and induces chaotic behavior. Furthermore, we propose several strategies for generating and controlling chaos, while also identifying the parameter ranges necessary for the resonance of the two mechanical oscillators. Interestingly, when adjusting the driving power in a system driven solely by the pump field, we unexpectedly observe the emergence of high-order sidebands. These findings contribute to the development of chaotic behavior in future cavity optomechanical systems and provide a theoretical basis for applications in physical random number generation and secure communication.

Key words: cavity optomechanical system, Coulomb coupling, chaos, period bifurcation

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
42.50.-p (Quantum optics) 42.50.Md (Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency) 42.65.Sf (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)