基于当前的实验条件, 在半导体量子点中考虑声子辅助跃迁效应去构建环形四能级半导体量子点电磁感应透明介质模型。利用多重尺度法解析地研究了其中的时间光孤子的动力学行为。结果发现, 可以通过调整声子辅助跃迁强度来控制时间光孤子的幅度、宽度和群速度等动力学性质。时间光孤子的群速度远小于光速, 且随着声子辅助跃迁强度的增加, 孤子的群速度不断减小, 以至于可能缓变接近于零从而出现停滞现象。光停滞有利于将光存储于量子器件内, 这为半导体量子器件实现光存储提供一定的参考价值。

Based on the current experimental conditions, a model of annular four-level semiconductor quantum dot electromagnetically induced transparency medium is constructed by considering the phonon-assisted transition effect in semiconductor quantum dot. Dynamical behaviors of the temporal optical soliton in this system is analytically studied by using multiple-scale method. The results show that dynamical properties such as amplitude, width and group velocity of the temporal optical soliton can be controlled by adjusting the strength of the phonon-assisted transition. The group velocity of the temporal optical soliton is much smaller than the velocity of light. And when the strength of the phonon-assisted transition increases, the group velocity of the soliton decreases continuously. So, the group velocity may slowly close to zero that it appears stagnation. The optical stagnation is helpful for light storing in quantum devices. It provides some reference values to realize optical storage in the semiconductor quantum devices.