We theoretically study the controllable optical response in an optomechanical system with membrane-in-the-middle geometry, where the cavity mode is coupled to the square of the position of the membrane. When the optical cavity is driven by a strong control field and the movable membrane is excited by a weak coherent mechanical driving field, the optical response of the system can be detected by applying a weak probe field to the optical cavity. Due to the additional mechanical driving field, more complex interference exists in this optomechanical system. Under the two-phonon resonance condition, the probe transmission can be larger than unity or suppressed to be zero because of the interference effect, which is dependent on the phase difference of the applied fields. We show that the transmission coefficient and group delay of the probe field can be controlled flexibly by the power of the control field, the amplitude and phase of the mechanical driving field, and the environment temperature. Our results provide a flexible route to control light propagation based on the quadratically coupled optomechanical system.

中文翻译：

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二次耦合光机械系统中机械驱动介导的慢光

我们从理论上研究了具有中间膜几何形状的光机械系统中的可控光学响应，其中腔模耦合到膜位置的平方。当光腔由强控制场驱动并且可移动膜被弱相干机械驱动场激发时，可以通过向光腔施加弱探针场来检测系统的光学响应。由于附加的机械驱动场，该光机械系统中存在更复杂的干扰。在双声子共振条件下，由于干扰效应，探头的透射率可以大于1或被抑制为零，这取决于所施加场的相位差。我们表明，可以通过控制场的功率，机械驱动场的幅度和相位以及环境温度灵活地控制探测场的传输系数和群时延。我们的结果提供了一种基于二次耦合光机械系统控制光传播的灵活途径。