Photons statistics in a hybrid electro-optomechanical system: effect of optomechanical interaction

In this paper, an electro-optomechanical system in which a microwave cavity and an optical one are simultaneously coupled to a mechanical oscillator, is considered. There are also two applied driving fields to the cavities and finally, dissipation effects are taken into account for this system. Using the Heisenberg–Langevin method, temporal evolution of the second order correlation functions (for optical field, mechanical oscillator and their cross correlations), are evaluated. We show that how the optomechanical coupling can affect on the correlation functions of the system. In this way we will show that the presence of optomechanical interaction in the system can lead to photon blockade effect. Moreover, we show that the presence and increasing of the optomechanical coupling lead to appearing squeezed states in the mean photon number of the optical cavity.