Double optomechanically induced transparency in coupled-resonator system

We propose a scheme to generate double optomechanically induced transparency (OMIT) in an optomechanical system consisted of two tunneling-coupled resonators. One cavity is coherently driven by the pump and probe laser fields and the other cavity couples to a high-Q mechanical oscillator via radiation pressure. We follow the standard procedure in derivation of the response of probe field in the coupled-resonator optomechanical system and find that based on the coupled-resonator-induced transparency, when we couple the optomechanical interaction into the system the transparency window is split into two transparency windows for probe field.