Optical response of a dissipative optomechanical system with a weak mechanical drive

We study the propagation of a weak probe field through a dissipative optomechanical system, in which an additional weak mechanical drive is acting directly on a vibrating waveguide. In the presence of a strong coupling field, when the frequency of the mechanical drive precisely matches the frequency difference between the probe and coupling fields, we show that the nearly perfect absorption, complete transmission, and significant amplification of the probe field can be achieved by adjusting the amplitude and phase of the mechanical drive and the power of the coupling field. Moreover, by appropriately choosing the amplitude and phase of the mechanical drive, the group delay of the output probe field is tunable from a large negative value to a large positive value and vice versa. Our study offers an alternative way to control and manipulate the propagation of a weak probe field in a dissipative optomechanical system.