1. Introduction . In the recent two decades, the field of quantum optomechanics [ 1 ], in which a mechanical oscillator (MO) is linearly or quadratically coupled to an optical/microwave mode via the radiation pressure, using state-of-the-art technologies has significantly progressed both in theory and experiment. The optomechanical systems (OMSs) play a key role in quantum technologies and also can be employed as a controllable setup for the emergence of quantum effects on macroscopic sca...