“…In recent years, a large number of attentions have been payed in the field of optomechanics [1,2], in which different considerable phenomena have been met. Achieved results from merged quantum mechanical systems with nano and micro mechanical oscillators show the capability of these systems for different applications such as cooling of a mechanical resonator [3][4][5], optical bistability [6][7][8], optomechanical mass sensors [9], detection of weak microwave signals [10][11][12] and optomechanical photon blockade [13]. In addition to optomechanical systems, a large number of efforts have been devoted in coupling between mechanical modes to other quantum systems such as cooper pair boxes [14] and superconducting microwave circuits [15,16].…”