Synchronization of a periodic modulation of mirrors in an optomechanical system

Abstract: Proposing an optomechanical cavity modulated periodically, we study the modulation synchronization of mechanical modes of the mirrors. A periodic modulation is applied to one of the mirrors, where the second mirror has the capability of oscillation, without any modulation for that. As a result, we find a phase-locking synchronization between the mechanical modes of the mirrors and enhancement of quantum synchronization by having the periodic modulation. Using the fact that, periodic modulation can make the squeezed states, we show that there is a robust synchronization of periodic modulation between mirrors against enhancement of detuning between the mirrors. Also, our results show that having a periodic modulation leads to a stationary entanglement generation between the mirrors.