提出了在三腔光力学系统中实现非互易性的理论方案。三个被强驱动光场驱动的光学腔场通过辐射压力分别与一个机械振子耦合,其中两个光学腔场通过光纤耦合在一起的同时还被弱探测光场驱动。基于海森堡-朗之万方程给出了三腔光力学系统的稳态解,利用输入-输出理论得到了传输振幅的具体表达形式。研究结果表明:三腔光力学系统中的非互易性来源于光力相互作用以及两个光学腔场相互作用之间的量子干涉效应;相位差不仅可以决定系统中能否发生非互易性,还决定了发生非互易性的方向;随着有效光力耦合强度增加,传输振幅曲线的变化形式完全不同;在一定的有效光力耦合强度下,腔光力学系统可以实现完美的非互易性。本研究成果为基于腔光力学系统的量子信息处理的应用提供了参考。

In this paper, a theoretical scheme to realize nonreciprocity in a three-cavity optomechanical system was proposed. Three optical cavity fields propelled by strong driving light fields were individually integrated to a mechanical oscillator through radiation pressure, and two were driven by weak probe light fields when they were coupled with an optical fiber. Through the Heisenberg-Langevin equation, the steady-state solution of the three-cavity optomechanical system was presented. The specific expression of the transmission amplitudes is obtained using the input-output theory. The results reveal that the nonreciprocity in the three-cavity optomechanical system is because of the quantum interference between the optomechanical interaction and the coupling interaction of two optical cavity fields. The phase difference not only determines whether the nonreciprocity can occur in the system but also determines the direction of the nonreciprocity. Furthermore, it is also discovered that with an increase in the effective optical coupling strength, the transmission amplitude curves change in different forms. Under a certain effective optomechanical coupling strength, the system achieves the perfect nonreciprocity. Our research results can provide reference for the application of quantum information processing based on a cavity optomechanical system.