We propose a scheme for generation of the high-order phonon sideband spectra (HPS) and frequency comb arising from the strain-induced coupling of a nitrogen-vacancy (NV) impurity to a resonant vibrational mode of a diamond nanoresonator. The underlying nonlinear process of the nanomechanical system, due to the coupling between the NV center and an additional pump laser in a phonon nanoresonator, results in the formation of efficient HPS and the frequency comb. Using a perturbation method, we give an explicit analytical expression for second-order phonon sideband generation. Our numerical simulations show that the HPS and frequency comb exhibit ultralow power consumption and good tunability of phonon sideband-line spacing, number, and intensity in a wide parameter range. The sideband-line spacing is determined entirely by the beating frequency between the two input lasers and is as low as a few megahertz. Of particular interest is that the symmetry of the phonon frequency comb can be controlled by adjusting some parameters. Our approach based on a solid system with good integration and expansibility may be useful for the construction of phonon networks.

中文翻译：

---

增益非线性引起的可调声子边带频谱和频率梳

我们提出了一种用于生成高阶声子边带频谱（HPS）和频率梳的方案，该方案是由应变引起的氮空位（NV）杂质与金刚石纳米谐振器的谐振模式耦合而产生的。由于NV中心与声子纳米谐振器中的附加泵浦激光器之间的耦合，纳米机械系统的基本非线性过程导致了有效HPS和频率梳的形成。使用摄动方法，我们给出了二阶声子边带生成的显式解析表达式。我们的数值模拟表明，HPS和频率梳在很宽的参数范围内表现出超低的功耗和良好的声子边带线间距，数量和强度可调性。边带线间距完全由两个输入激光器之间的跳动频率确定，并且低至几兆赫兹。特别令人感兴趣的是，可以通过调整一些参数来控制声子频率梳的对称性。我们基于具有良好集成性和可扩展性的坚固系统的方法可能对声子网络的构建有用。