Optomechanical systems are known to exhibit self-sustained limit cycles once driven above the parametric instability point. This breaks down the linearized approximation and induces novel nonlinear effects such as dynamical multistability, staircase behavior, and the generation of optical high-order sideband combs (HOSCs). Here, we study the classical nonlinear dynamics of optomechanical systems. We combine numerical simulations and analytical investigation to predict dynamical multistability in the resolved sideband regime. A way to predict the onset of the period doubling process and to control the multistability is analytically provided by tuning the optical linewidth. Indeed, the multistability behavior first changes to a staircase shape and gradually disappears as the system approaches the unresolved sideband limit. We exploit the multistable attractors to generate optical HOSCs by acting solely on the initial values instead of increasing the driving strength. This is the figure of merit of our proposal to relate multistability to the HOSC. As a result, the properties (bandwidth, intensity) of the combs are improved as the mechanical resonator moves towards upper attractors. This work opens a way for low-power HOSC generation in optomechanics and the related technological applications.

中文翻译：

---

光学力学中的多稳定性，阶梯和光学高阶边带梳

一旦被驱动到参数不稳定性点之上，光机系统就会表现出自我维持的极限循环。这破坏了线性化近似，并引发了新颖的非线性效应，例如动态多重稳定性，阶梯行为以及光学高阶边带梳（HOSC）的产生。在这里，我们研究光机械系统的经典非线性动力学。我们将数值模拟和分析研究相结合，以预测已解析边带状态下的动态多重稳定性。通过调整光学线宽，分析性地提供了一种预测周期加倍过程的开始并控制多重稳定性的方法。实际上，当系统接近未解决的边带极限时，多重稳定性行为首先变为阶梯形状，然后逐渐消失。我们通过仅对初始值起作用而不增加驱动强度来利用多稳态吸引子来生成光学HOSC。这是我们提出的将多稳定性与HOSC相关的建议的优点。结果，随着机械谐振器向上吸引子移动，梳子的特性（带宽，强度）得到改善。这项工作为光力学和相关技术应用中的低功耗HOSC生成开辟了道路。