增加光子对和减少光子对相干态的统计性质

STATISTICAL PROPERTIES OF PHOTON-ADDED AND PHOTON-SUBTRACTED PAIR COHERENT STATE

引入增加光子对相干态|ζ,q;m>_a=a^(+m)|ζ,q>和减少光子对相干态|ζ,q;+-m>_b=b^m|ζ,q>,研究了这些态所描写的光场的统计性质．结果显示当在对相干态的ａ模增加光子时，两模的平均光子数均增加，亚泊松分布性质增强；当在对相干态的ｂ模取走光子时，ｂ模的平均光子数减少，而ａ模的平均光子数却增加；ｂ模的亚泊松分布性质减弱，而ａ模的亚泊松分布性质却增强．我们还计算了场模间的相关度和场模的压缩．

It is introduced states |ζ,m,q>a =a+m |ζ,q> and |ζ, -m,q>b=bm|ζ,q >,is a pair coherent state,and the photon statistics of these two states is examined by the numeric solution. The results exhibit that when photons are added to mode a of a pair coherent state,the mean numbers of photons of mode a and mode b are all increased;the sub-Poisson photon statistics properties are all enhanced. When photons are subtracted from mode b of a pair coherent state,the mean numbers of photons of mode b is decreased but of mode a is increased; the sub-Poissonian photon statistics property of mode b is weakened and of mode a is enhanced instead. The cross-relation function and squeezing of the field is calculated also.