中文摘要：

对一类光子消灭算符a^N正交归一本征态的迭加态的振幅k次方压缩特性进行了研究,发现一类a^N正交归一本征态的迭加态的振幅k次方压缩特性明显地区别于a^N的正交归一本征态k次方压缩.无论N取奇数还是偶数迭加态均存在振幅k（k=Nt或Nt/2）次方压缩.由于当位相差δ=2mπ/t（m为整数）时迭加态不存在振幅k次方压缩;当δ=π时,只有N和t同时为奇数才有可能存在k次方压缩;当δ=π/2时,对应t≠4m的不同取值迭加态存在k次方压缩.因而参量的位相对振幅的k次方压缩起着关键性的作用.研究结果还表明j,N,δ,和α对k次方压缩和压缩区域起着不容忽视的作用.

英文摘要：

The characteristics of the kth-power squeezing of a class of superposition states which involing two orthonormalized eigenstates of photo annihilation operator aN are studied,the result show that the characteristics of the kth-power squeezing of a class of superposition states which involving two orthonormalized of photon annihilation operator aN are different from the characteristics of the kth-power squeezing of the orthonormalized eigenstates of photo annihilation operator aN clearly.No matter what N is odd number or even number,the superposition states exist amplitude k（k=Nt or Nt/2）th-power squeezing,but for the orthonormalized eigenstates of aN,only when N is even number there exist amplitude k（k=（2p＋1）N/2）th-power squeezing.Owing to,when phase difference δ=2mπ/t（m is integer）,the superposition states don＇t exist amplitude k th-power squeezing,when δ=π,only N and t are odd number together,the superposition states may exist amplitude kth-power squeezing,…,thus the phase difference of paramter takes key effect for amplitude kth-power squeezing.The research result also show that j,N,δ, and α play a not be ignored part in squeezing and squeezing region.