Effect of mechanical coupling on the synchronization regimes of coupled optomechanical systems

The objective of this work is to investigate the effect of mechanical coupling strength on the bistable synchronization regimes of two coupled optomechanical systems. Classically, the system is described by an effective Kuramoto-type model. Quantum mechanically, the system has been defined by a Hamiltonian and can be studied using semi-classical Langevin equation method. Previous research concluded that the quantum fluctuations are responsible for the appearance of the bistable synchronization regime. In this work, it is shown that, at some critical value of mechanical coupling, the synchronization can be bistable even in the absence of quantum fluctuation. Further, the numerical results of systems with detuning and thermal noise are obtained. These results collectively are used to extract a statistical measure that differentiate bistable synchronous states and unsynchronous states.