Abstract
The synchronization of the motion of microresonators has attracted considerable attention. In previous studies, the microresonators for synchronization were studied mostly in the linear regime. While the important problem of synchronizing nonlinear microresonators was rarely explored. Here we present theoretical methods to synchronize the motions of chaotic optical cavity modes in an optomechanical system, where one of the optical modes is strongly driven into chaotic motion and transfers chaos to other weakly driven optical modes via a common mechanical resonator. This mechanical mode works as a common force acting on each optical mode, which, thus, enables the synchronization of states. We find that complete synchronization can be achieved in two identical chaotic cavity modes. For two arbitrary nonidentical chaotic cavity modes, phase synchronization can also be achieved in the strong-coupling small-detuning regime.
Highlights
The synchronization of the motion of microresonators has attracted considerable attention
Chaotic synchronization fails in two optomechanical resonators, when they are mediated by optical fields
We propose methods for the synchronization of two optical modes in an optomechanical system with chaotic dynamics rather than with periodic motion
Summary
The synchronization of the motion of microresonators has attracted considerable attention. The mechanical resonator corresponds to the autonomous subsystem, and the two chaotic weakly driven optical modes are the non-autonomous subsystems to be synchronized. = xZjPF(βj + βj⁎)], and we define strongly (weakly) driven optomechanical resonators and gs (gj) refers to the single photon optical-mechanical coupling strength.
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