We theoretically investigate the displacement spectrum of a movable mirror and squeezing spectrum of the cavity quadrature field in a hybrid optomechanical system (OMS), which contains a degenerate optical parametric amplifier (OPA) and $ N $ two-level cold atoms. In comparison with the bare OMS, when there is only an OPA in the optical cavity, with the increasing nonlinear gain of the OPA, peak separation of the normal-mode splitting (NMS) in the displacement spectrum and degree of the squeezing spectrum for the cavity quadrature field increase. Further, the simultaneous presence of both OPA and the atomic ensemble in the optical cavity ensures wider spacing in the NMS and greater degree of the squeezing spectrum than the OMS with just an OPA or an atomic ensemble. Further, a decrease in temperature ends the peak in the squeezing spectrum due to a reduction in mechanical thermal noise.

中文翻译：

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原子集成辅助的非线性光机系统中的正模分裂和质子压缩

我们从理论上研究了混合光机系统（OMS）中可移动镜的位移谱和腔正交场的压缩谱，该系统包含一个简并的光参量放大器（OPA）和$ N $两级冷原子。与裸露的OMS相比，当光腔中仅存在OPA时，随着OPA的非线性增益的增加，正态分裂（NMS）的峰分离在位移光谱中和压缩光谱的程度腔正交场增大。此外，与仅具有OPA或原子团的OMS相比，光学腔中同时存在OPA和原子团可确保NMS中更宽的间距和更大程度的压缩光谱。此外，由于机械热噪声的降低，温度的降低终止了挤压光谱中的峰值。