中文摘要：

在解析边带机制下用量子郎之万方程研究一种由辐射压力与驱动Fabry-Perot光学腔相耦合而产生的光机械动力学行为。随着输入激光功率的增加，振子的涨落光谱呈现简正模式分裂的现象，并且结果和实验相符合。也推导了有效机械阻尼和共振频移。红移边带导致了机械模的冷却，蓝移边带引起了机械模的放大。此外，引入一种近似机制来研究振子的冷却。由于简正模式分裂和基态冷却都要求在解析边带机制下，这就需要考虑简正模式分裂是否会影响到振子的冷却。同时也讨论了操控基态冷却的关键因素。

英文摘要：

A model describing optomechanical dynamics via radiation-pressure coupling with a driven optical cavity was investigated by a linearized quantum Langevin equation under resolved sideband regime. Both the movable mirror and output field present the normal mode splitting with increasing of the input laser power and the results approach the experiment very well. The effective mechanical damping and resonancefrequency shift are derived. The redshift sideband leads to cooling of the mechanical oscillator and the blueshift motional sideband results in amplification. Furthermore, an approximation scheme is introduced to analyze cooling of the mechanical oscillator. Since both the normal mode splitting and cooling require working in the resolved sideband regime, whether the normal mode splitting influence cooling of the mirror is considered. Meanwhile, the key factors that dominate the ground state cooling are also discussed. Key words： quantum optics; optomechanical cavity; radiation pressure; normal mode splitting; cooling