We study a coherently driven semiconductor laser cavity containing a single quantum dot(QD) (as gain medium) with optical feedback under Markovian approximation. We have obtained coupled operator equations for the model Hamiltonian using standard input-output formalism of cavity-QED and have found that these equations do not have any finite steady state solutions. We have also used an exact numerical framework based on Matlab platform qotoolbox, to compute the temporal dynamics of the mean excitation number of laser cavity mode under high feedback coupling regime. We have further studied the photon correlations of both the cavity mode as well as external feedback mode to feedback identify the laser parameters and coupling strength that give the nonclassical sub-Poissonian photon statistics. This work is useful for coherent control of photon statistics and photon correlations in the semiconductor laser with optical feedback.

我们研究了一个相干驱动的半导体激光腔，该腔包含一个单个量子点（QD）（作为增益介质），并在马尔可夫近似下具有光反馈。我们使用腔体QED的标准输入输出形式主义获得了模型哈密顿量的耦合算子方程，并发现这些方程没有任何有限的稳态解。我们还使用了基于Matlab平台qotoolbox的精确数值框架，以计算在高反馈耦合条件下激光腔模的平均激发数的时间动态。我们进一步研究了腔模式以及外部反馈模式的光子相关性，以反馈识别激光参数和耦合强度，从而给出非经典的亚泊松光子统计数据。