We explore the role of quantum fluctuations in the strong-coupling limit of the dissipative Jaynes–Cummings oscillator driven on resonance. For weak excitation, we derive analytical expressions for the spectrum and the intensity correlation function for the photons scattered by the two-state atom coupled to the coherently driven cavity mode. We do so by writing down a birth–death process adding the higher orders in the excitation strength needed to go beyond the pure-state factorization, following the method introduced in Carmichael (2008). Our results for the first and second-order correlation functions are complemented by the numerical investigation of the waiting-time distribution for the photon emissions directed sideways, and the comparison with ordinary resonance fluorescence. To close out our discussion, we increase the driving field amplitude and approach the critical point organizing a second-order dissipative quantum phase transition by depicting the excitation pathways in the intracavity field distribution for a finite system size.

我们探索了量子涨落在共振驱动的耗散 Jaynes-Cummings 振荡器的强耦合极限中的作用。对于弱激发，我们推导出光谱的解析表达式和由耦合到相干驱动腔模式的双态原子散射的光子的强度相关函数。我们按照 Carmichael (2008) 中介绍的方法，通过写下一个生死过程，在超越纯状态分解所需的激发强度中添加更高阶。我们对一阶和二阶相关函数的结果通过对侧向光子发射的等待时间分布的数值研究以及与普通共振荧光的比较进行了补充。结束我们的讨论，