Controlling Multiple Optomechanically Induced Transparency in Charged Cavity Optomechanical System Assisted by Three-Level Atomic Ensemble

The analog multicolor optomechanically induced transparency (OMIT) of distant optomechanical system is studied. The two charged mechanical oscillators couple to each other via Coulomb interaction, and the atomic ensemble is introduced into the hybrid system. We focus on the width of OMIT windows which is manipulated by some interference effects of the system components. The research shows that five transparency windows can be observed from the output field at the probe frequency. In the absence of some internal interactions, the number of transparent windows will reduce. Furthermore, the width and the number of the transparent windows are affected by the coupling strength between the optical mode and the mechanical mode, between the optical mode and atoms and the Rabi frequency, between the two optical modes, as well as the Coulomb coupling between the two charged oscillators. It is feasible for our approach to manipulate multiple optomechanically induced transparency, which provides potential applications in quantum information processing and quantum net works.