  In this paper, we study the stochastic resonance (SR) effect in an
optomechanical system driven by a strong coupling field and two weak signals in
both semiclassical and quantum frameworks. In the semiclassical description,
the SR phenomena are found at the cooperation of input signals and system
noises. When two signals co-act on our system, the interference effect between
the optically induced SR and the mechanically induced SR can be generated. In
particular, a unique beating effect, which makes the SR effect robust against
the initial phase difference of two signals, appears in the SR synchronization
process with unsynchronized signals. In addition, the quantum stochastic
resonance effect is numerically observed in the full quantum framework induced
by pure quantum fluctuations.
