Tunable double optomechanically induced transparency with quantized fields in an optomechanical system

We study the tunable double optomechanically induced transparency (OMIT) with the quantized field in the system, which consists of an optomechanical cavity coupling to a charged nanomechanical resonator via Coulomb interaction. We demonstrate this tunable double OMIT for the quantized field can be achieved by adjusting the strength of the Coulomb interaction, and this phenomena can be observed even though the photon number in the squeezed field is in the single-photon level. Moreover, our work shows this double OMIT for the quantized fields can be robust against temperature and cavity decay in somehow. Specifically, the model under our consideration can be applied to precisely measure the Coulomb coupling strength within the reach of current techniques.