Optical response based on Stokes and anti-Stokes scattering processes in cavity optomechanical system

We investigate the optical response of the probe output field in a three-mode cavity optomechanical system, in which both the optical modes are coupled to the same mechanical oscillator. The optomechanically induced transparency and amplification effects can be achieved by controlling the optomechanical interaction in the auxiliary optical mode. With the tunneling interaction between two optical modes, we not only observe the Fano and optical absorption effects in the red-detuned regime but also find two controllable singular points representing the considerable optical amplification effect in the blue-detuned regime and analyze the conversion between fast light and slow light. These optical properties of the probe output field may benefit forward achieving the potential applications in coherent control of laser pulse and optical storage.