Abstract

Abstract We theoretically present a ring cavity optomechanical system including four interactions which are two optomechanical coupling with coupling strength G 1 and G 2 , the interaction of the two resonators with coupling strength V , and the cavity–cavity coupling with coupling strength J . With the standard methods of quantum optics and input–output theory, the processes of evolution of the coherent reflection and transmission properties of the probe field varying significantly under different detuning regimes have been investigated, which presents obvious modes splitting by manipulating the four interactions. Furthermore, the coherent optical propagation such as the tunable fast-to-slow light propagation (or vice versa) can be achieved by manipulating the four interactions. The scheme may indicate a platform for controllable photon transport and potential applications in quantum information processing.

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