用一种全量子理论方法研究了波导、光学微盘腔与三能级量子点耦合系统的动力学过程,求出其耦合后的透射模和反射模的解析解.由于微腔表面粗糙引起反向散射,在微腔内形成两简并回音壁耦合共振模,其耦合率为β;量子点的两激发态分别以耦合率g1,g2与回音壁耦合共振模产生耦合.在实数空间里,得出透射光谱和反射光谱的数值解,这些三能级模型结果比二能级模型结果更接近真实光学微盘腔系统,能更好地显示耦合系统的动力学特性.
A full quantum mechanical approach is extended to a coupled waveguide-ring resonator interacting with a three-level quantum dot (QD). The transmission and reflection amplitudes,as well as the resonator and the QD responses,are solved exactly via a real-space approach,which shows the single-photon transport properties. One feature of the system is the coupling between the two degenerate whispering-gallery modes (WGMs) of the resonator at rate β due to backscattering caused by surface roughness of the cavity. Another feature is describing the coupling between QD and the cavity by two parameters g1 and g2 . From the analytic numerical results we can see the difference from two-level system. It may better interpret the experiment of a quantum dot strongly coupled to WGMs in a cavity.