论文标题

两膜腔光学机械:非线性动力学

Two-membrane cavity optomechanics: non-linear dynamics

论文作者

Piergentili, Paolo, Li, Wenlin, Natali, Riccardo, Malossi, Nicola, Vitali, David, Di Giuseppe, Giovanni

论文摘要

我们研究了多模光力系统的非线性动力学,该动力学由构成的高型Fabry-Pérot腔构成,其中包含两个振动介电膜。分析研究允许在非线性方案中通过探针梁来得出对位移检测的完整,一致的描述,从而使膜位移的忠实检测能够符合对应于腔限线路的通常感应极限。在系统处于预先同步情况下的弱驾驶状态下,未激发的振荡器具有一个小的,同步的组件,以激发的频率为单位。大小振幅谐振器的运动都通过光探针束的非线性响应以非平凡的方式转导。我们发现基于缓慢变化的振幅方程的实验结果,数值模拟和分析方法之间的完美一致性。

We study the non-linear dynamics of a multimode optomechanical system constituted of a driven high-finesse Fabry-Pérot cavity containing two vibrating dielectric membranes. The analytical study allows to derive a full and consistent description of the displacement detection by a probe beam in the non-linear regime, enabling the faithful detection of membrane displacements well above the usual sensing limit corresponding to the cavity linewidth. In the weak driving regime where the system is in a pre-synchronized situation, the unexcited oscillator has a small, synchronized component at the frequency of the excited one; both large and small amplitude resonator motions are transduced in a nontrivial way by the non-linear response of the optical probe beam. We find perfect agreement between the experimental results, the numerical simulations, and an analytical approach based on slowly-varying amplitude equations.

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