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.

从理论上讲，我们提出了一种包含四个相互作用的环腔光机系统，这是两个具有耦合强度的光机耦合 $G_{\mathrm{1个}}$ 和 $G_2$，两个谐振器的相互作用与耦合强度 $V$，以及具有耦合强度的空腔耦合 $Ĵ$。利用标准的量子光学方法和输入输出理论，研究了在不同失谐状态下探测场的相干反射和透射特性的演化过程，这些过程通过操纵四种相互作用呈现出明显的模式分裂。此外，可以通过操纵四个相互作用来实现相干光传播，例如可调的快慢光传播（反之亦然）。该方案可以指示用于可控光子传输和量子信息处理中潜在应用的平台。