We calculate the steady-state and first-order time varying atom-field correlation functions in the weak-excitation limit of absorptive optical bistability from a linearized theory of quantum fluctuations. We formulate a Fokker–Planck equation in the positive P representation following the phase-space analysis of [H. J. Carmichael, Phys. Rev. A 33, 3262 (1986)] which is suitable for the determination of cross-correlations as it does not resort to adiabatic elimination. Special emphasis is placed on the limit of collective strong coupling as attained from a vanishing photon-loss rate. We compare to the cavity-transmission spectrum with reference to experimental results obtained for macroscopic dissipative systems, discussing the role of anomalous correlations arising as distinct nonclassical features.

我们根据量子涨落的线性化理论，计算了在吸收光双稳性的弱激发极限中的稳态和一阶时变原子场相关函数。我们制定的积极福克-普朗克公式P以下[HJ卡迈克尔，物理学的相空间分析表示。版本A 33，3262（1986）]，因为它不求绝热消除，所以适用于确定互相关。特别强调的是从消失的光子丢失率达到的集体强耦合的极限。我们参考了宏观耗散系统获得的实验结果，与腔透射光谱进行了比较，讨论了异常相关性作为不同的非经典特征而产生的作用。