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Multicolor optomechanically induced transparency in a distant nano-electro-optomechanical system assisted by two-level atomic ensemble

We investigate the multicolor optomechanically induced transparency (OMIT) of a nano-electro-optomechanical system with two-level atomic ensemble. The system consists of two distant cavities and two charged mechanical resonators coupled via the Coulomb interaction. The focus of our study is on the number of the OMIT windows, which can be manipulated by the coupling strength between the system components. Also, the four transparency windows can be observed from the output probe field. When some coupling strengths disappear, the number of transparent windows decreases. Furthermore, the number and the width of the transparent windows can be controlled by the coherent interactions between the optical mode and the mechanical mode, or between the optical mode and the atoms, or between the two optical modes, or controlled by the Coulomb coupling between the two charged mechanical modes. Our approach is feasible for phonon storage, which will have the great potential applications for quantum information processing.