新型激发k玻色子q相干态的反聚束效应

Antibunching Effect for a New-Style Excited k-Boson q-Coherent States

量子群和量子代数由于在原子核物理学和量子光学等许多领域中有着广泛的应用前景,而引起了数学和物理学工作者的重视.产生新量子态并研究它的非经典特性是量子光学热点问题之一,最近,一种在某些典型的量子态上重复作用逆玻色湮没算符构造新型激发态的方法受到了关注.把这种新方法推广应用到具有量子群结构的k玻色子q相干态上,构造了新型激发k玻色子q相干态(aq-1)m|z,k,j〉q,并在k=3,4,5,6时对其反聚束效应进行研究,数值计算了光子增加数m对反聚束效应的影响.结果表明:随着m的增加,反聚束效应出现的区间明显增宽、强度增大;对于给定的q,当m足够大时,在0≤x≤100的广阔区间里,不论k为何值,q光场的二阶相关函数都恒等于同一个饱和值,即g(2)(0)≡q;这些都明显不同于旧型激发k玻色子q相干态(aq+)m|z,k,j〉q的情况.

A new-style excited k-boson q-coherent state（aq-1） m｜ z,k,j〉q is constructed by acting with the inverse boson operators on the k-boson q-coherent states.The m dependence of the antibunching effect is numerically investigated for k = 3,4,5,6.It is shown that the antibunching effect enhances as m increases.For a given q,when m is large enough,in the wide region of 0≤x≤100,the 2nd order correlation function of the q-light fields is always equal to a same saturation value（for k = 3,4,5,6）,namely g（2）（0）≡q.These differ greatly from the old-style excited k-boson q-coherent state（aq-1）m｜z,k,j〉q.