Chaos of cavity optomechanical system with Coulomb coupling

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.