<p>This study investigates the mechanisms underlying chaotic dynamics in a ring cavity optomechanical system, with a particular emphasis on the role of Coulomb coupling in modulating system behavior. We developed a hybrid theoretical model incorporating both optomechanical and Coulomb interactions and systematically analyzed the nonlinear dynamical evolution using bifurcation diagrams, Lyapunov exponent spectra, and direct numerical simulations. The results reveal that Coulomb coupling substantially lowers the threshold power for chaos onset by enhancing energy exchange efficiency between the external oscillator and the ring cavity. For sufficiently strong Coulomb coupling, the chaos threshold power can decrease by an order of magnitude. Furthermore, Coulomb coupling modifies the nonlinear response, leading to an evolution in the characteristics of the sideband spectrum: it transitions from discrete sidebands to multi-order sidebands incorporating a plateau effect, and eventually takes the form of a continuous spectrum. This work enriches the theoretical framework of nonlinear dynamics in cavity optomechanics and provides insights into multi-physics cooperative control for micro- and nano-optoelectromechanical systems.</p>

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Chaotic dynamics and high-order sideband generation in a ring cavity regulated by coulomb coupling

  • Weizheng Kong,
  • Liwei Liu,
  • Baowei Song,
  • Guoheng Zhang,
  • Qiong Chen,
  • Junpeng Liu

摘要

This study investigates the mechanisms underlying chaotic dynamics in a ring cavity optomechanical system, with a particular emphasis on the role of Coulomb coupling in modulating system behavior. We developed a hybrid theoretical model incorporating both optomechanical and Coulomb interactions and systematically analyzed the nonlinear dynamical evolution using bifurcation diagrams, Lyapunov exponent spectra, and direct numerical simulations. The results reveal that Coulomb coupling substantially lowers the threshold power for chaos onset by enhancing energy exchange efficiency between the external oscillator and the ring cavity. For sufficiently strong Coulomb coupling, the chaos threshold power can decrease by an order of magnitude. Furthermore, Coulomb coupling modifies the nonlinear response, leading to an evolution in the characteristics of the sideband spectrum: it transitions from discrete sidebands to multi-order sidebands incorporating a plateau effect, and eventually takes the form of a continuous spectrum. This work enriches the theoretical framework of nonlinear dynamics in cavity optomechanics and provides insights into multi-physics cooperative control for micro- and nano-optoelectromechanical systems.