The master equation for the atom-field system with degenerate atomic levels and two polarization modes of the quantized field in a damped micro-cavity is obtained in the basis of eigenvectors of the interaction operator. The solution for the lossless cavity is obtained. The analytic expressions for the probability of emission of the photon in the cavity by an excited atom and of the photon polarization matrix are derived in the ‘strong coupling’ and ‘bad cavity’ approximations for arbitrary values of angular momenta of atomic levels. The dependence of the photon polarization on the polarization of the short excitation pulse is studied.

中文翻译：

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阻尼微腔中具有简并原子能级和量子场极化简并模的原子场系统的动力学

在相互作用算子的特征向量的基础上，获得了具有衰减的原子能级和量子场在衰减微腔中的两个极化模式的原子场系统的主方程。获得了无损腔的解决方案。对于原子级角矩的任意值的“强耦合”和“坏腔”近似，推导了被激发的原子在腔中发射光子的概率和光子极化矩阵的解析表达式。研究了光子极化对短激发脉冲极化的依赖性。