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采用生成函数方法,由光场密度算符主方程,求得光场压缩度s,二阶相干度g(x)和光子统计分布的严格解析表达式,同时讨论它们随标度时间τ的演化。计算表明,在双光子吸收过程中,虽然压缩度s逐渐减弱,但相当长的时间内光场仍呈现压缩特性;该过程有利于呈现和增强光子反聚束效应和光子亚泊松分布特性;光子分布的振荡特征维持较短一段时间后很快消失。The exact analytic expressions for the photon statistics distribution, the squeezing degree S and the second order degree of coherence g(2) of light field are obtained by using the master equation for the density operator of light field and applying the generation-function method. The evolution of these quantities with the scale-time τ are discussed. It is shown that the squeezing degree S, which is gradually reduced in two-photon absorption process, may still exhibit the squeezing feature. Moreover, the process is favorable to the existence and the enhancement of photon antibunching effect and photon sub-poissonian statistics feature, but the oscillatory characteristics of photon statistics distribution disappear rapidly after having been preserved in a short time.
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