Controllable coherent perfect absorption and transmission in a generalized three-mode optomechanical system

We present a generalized three-mode cavity optomechanical system, where two cavity modes with strong control fields and weak signal fields are coupled to a common mechanical resonator. We find that the weak input signal fields will be entirely absorbed by the system without generating any energy output from each of the cavity modes termed coherent perfect absorption (CPA), and the two cavity modes and mechanical mode will share the input probe fields energy when CPA occurs under parameter regimes. With changing the parameter conditions, a weak input signal field will transmit from one cavity to the other cavity without undergoing any energy loss termed coherent perfect transmission (CPT). Moreover, the above phenomena are dependent on the coupling strength between the two cavity modes in this optomechanical systems. The origin and conditions that enable these phenomena to achieve are analyzed, and potential applications in quantum information may be realized in all-optical domain based on such phenomena.