减光子压缩真空态的反群聚效应

Anti-Bunching Effects of the Photon-Depleted Squeezed Vacuum States

利用玻色产生算符的逆算符及玻色湮没算符作用于压缩真空态来构造减光子压缩真空态,并通过计算减光子压缩真空态的二阶关联函数来讨论它们的光子反群聚性质。数值计算结果表明,在两种情况下所得到的减光子压缩真空态当湮没光子数k为奇数时均呈现出群聚效应,而当k为偶数时呈现反群聚效应。所呈现的反群聚效应对应的压缩参量η的取值区间与湮没的光子数k有关,在玻色产生算符的逆算符的作用下随着k的增加,反群聚效应对应的压缩参量η的取值区间扩大,在玻色湮没算符作用下则相反。同时,作出二阶关联函数随压缩参量η变化的曲线来描述减光子压缩真空态所呈现的反群聚效应的变化特性。

Applying the inverse operator of the Boson creation operator and the Boson annihilation operator to the usual squeezed vacuum state, deplete squeezed vaccum states are fabricated and their anti-bunching properties of photons are studied by calculating their corresponding second-order correlation functions, respectively. For both cases, the theoretical results show that for these quantum states anti-bunching effects appear when k, the number of depleted photons, are even, and bunching effects appear when k are odd. The parameter η of the squeezed vacuum states corresponding to the anti-bunching effects is related to k. With the inverse operator of the Boson creation operator acting on the squeezed vacuum states the range of parameter η expands with the increase of k, which are contrary to the situation with the Boson annihilation operator acting on. The relation curves between the secondorder correlation function of the deplete squeezed vacuum states and the parameter η are also plotted to describe the anti-bunching effects.