We investigate theoretically an optomechanical system in which a cavity with a moving mirror is driven by two external fields of different frequencies. Under a resonance condition in the resolved-sideband limit, we show that there are motional states of the mirror such that the system is decoupled from the external fields if the single-photon optomechanical coupling strength is sufficiently strong. The decoupling is a quantum interference effect associated with the coherence in the mirror's mechanical degrees of freedom. We discuss the properties of such dark states and indicate how they can be generated by optical pumping due to amplitude damping of the cavity field.
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