AI 中文总结
研究在 FP 腔中心放置光子晶体法诺膜的腔光力学，考虑膜反射率的两个极限情况，用量子朗之万方程等方法，表明该系统可产生窄光学正常模式，能有效实现边带分辨率及膜运动基态冷却，是光谱和光机械工程的有前途平台。
AI 中文摘要
传统的中间膜（MIM）光机械系统对光学线宽的控制有限，在未分辨边带 regime 下运行时会限制其性能。我们研究了在法布里 - 珀罗（FP）腔中心放置光子晶体法诺膜的腔光力学。与传统介电膜不同，光子晶体膜支持局部光学共振，与腔场混合并实现相关光学模式的光谱工程。除了与腔长变化相关的通常色散光机械耦合外，膜运动还会改变法诺模式共振及其与腔场的混合。我们考虑了膜反射率设定的两个极限：具有单个类似 FP 模式的透明膜 regime，以及具有两个耦合子腔模式的反射膜 regime。在后一种情况下，只有对称腔模式与法诺模式混合，反对称模式保持解耦。使用量子朗之万方程和光学散射问题的转移矩阵描述，我们表明法诺诱导的混合可以产生窄光学正常模式，即使在裸腔处于未分辨边带 regime 时，外部驱动也能有效访问这些模式。这些模式可以提供有效的边带分辨率，并实现膜运动的基态冷却。我们的结果确立了法诺 MIM 系统作为光谱和光机械工程的有前途的平台。
英文摘要
Conventional membrane-in-the-middle (MIM) optomechanical systems offer limited control over the optical linewidth, which can limit their performance when operating in the unresolved-sideband regime. We investigate cavity optomechanics with a photonic-crystal Fano membrane placed at the center of a Fabry-Pérot (FP) cavity. In contrast to a conventional dielectric membrane, the photonic-crystal membrane supports a localized optical resonance, which hybridizes with the cavity field and enables spectral engineering of the relevant optical modes. Besides the usual dispersive optomechanical coupling associated with cavity-length changes, the membrane motion also modifies the Fano-mode resonance and its hybridization with the cavity field. We consider two limits set by the membrane reflectivity: a transparent-membrane regime with a single FP-like mode, and a reflective-membrane regime with two coupled subcavity modes. In the latter case, only the symmetric cavity mode hybridizes with the Fano mode, while the antisymmetric mode remains decoupled. Using quantum Langevin equations together with a transfer-matrix description of the optical scattering problem, we show that the Fano-induced hybridization can generate narrow optical normal modes that remain efficiently accessible to the external drive for experimentally realistic parameters. These modes can provide effective sideband resolution and enable ground-state cooling of the membrane motion even when the bare cavity is in the unresolved-sideband regime. Our results establish Fano MIM systems as a promising platform for spectral and optomechanical engineering.
Comments22 pages, 7 figures, minor changes (fixing typos and adding references)
