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本文从原子和场模密度算符的主方程出发,将Haake和Lewenstein新近为通常的单模激光理论所发展的原子变量绝热消除的算符方法应用于双光子激光问题,导出了简并双光子激光光场Wigner分布函数的Fokker-Planck方程及其稳态解。利用稳态解的高斯近似计算了光子统计的数值结果。结果表明,简并双光子激光的光子分布类似于Pois-sion分布,不出现反聚束效应。
In this paper, starting from the master equation of atom and field density operators, the operator method of adiabatic elimination of atomic variables developed by Haake and Lewenstein, which is usually used for single-mode laser theory, is applied to the two-photon laser problem. The degenerated two-photon Fokker - Planck Equation of Wigner Distribution Function of Laser Light Field and Its Steady Solution. The numerical results of photon statistics are calculated using the Gaussian approximation of the steady state solution. The results show that the photon distribution of the degenerate two-photon laser is similar to the Pois-sion distribution, and no anti-bunching effect appears.