中文摘要：

构造了由多模真空场｜{0j}〉q和四个一般多模泛函相干态｜{fj（m）（x,y,x）}〉q（m=1,2,3,4）这五个态任意线性叠加而成的五态叠加多模泛函量子叠加态光场｜ψ（5）（fj）〉q。利用多模压缩态理论,研究了态｜ψ（5）（fj）〉q的广义电场分量在其不等强度准对称叠加条件广义非线性不等幂次Nj次方振幅压缩特性。结果发现：①态｜ψ（5）（fj）〉q是一种普遍意义上的五态叠加多模泛函非经典光场;对于态｜ψ（5）（fj）〉q的不等强度准对称叠加情形,无论压缩次数Nj取偶数还是取奇数,在一定的条件下,态｜ψ（5）（fj）〉q的广义电场分量就可呈现出任意次不等幂次且周期性变化的广义非线性Nj次方振幅压缩效应;②态｜ψ（5）（fj）〉q的多模泛函相干态中各模经典振幅和经典相位等的空间任意分布特征以及经典强度和经典振幅的任意非对称空间分布特征将对其不等幂次振幅压缩效应的压缩结果及压缩程度等产生直接的影响。

英文摘要：

The light field state ｜ψ（5）（fj）〉q,a five states superposition multimode quantum functional superposition,that is formed by linearly superposing the multi-mode vacuum state ｜{0j}〉q and four generalized multimode functional coherent states ｜{f（m）j（x,y,z）}〉q（m=1,2,3,4） and the properties of the GN unequal-power higher-power Nj-power Y-S effects is further studied generally.The results indicate that ① the state ｜ψ（5）（fj）〉q is a general multimode nonclassical light field of five functional coherent states superposition,when the state ｜ψ（5）（fj）〉q is a unequal intensity quasi-symmetrical superposition,while some certain conditions are satisfied,the generalized electric field components of the state ｜ψ（5）（fj）〉q can display any unequal-power GN Nj-power amplitude squeezing effect.② the any quasi-symmetrical spatial distribution of the classical intensity and the classical amplitude,and the spatial arbitrary distribution characterization of the classical amplitude and the classical initial phase of light field in ｜ψ（5）（fj）〉q would have a direct influence upon the squeezing results and squeezing degree of the unequal-power amplitude squeezing effects presented by the state ｜ψ（5）（fj）〉q.