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  

The characteristics of the k th-power squeezing of a class of superposition states which involving two orthonormalized eigenstates of photon annihilation operator a^N

作　　者：冯立峰[1] 马志民[1] 王宙斐[2] 

机构地区：[1]哈尔滨师范大学理化学院,黑龙江哈尔滨150500 [2]东北师范大学物理学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2007年第4期66-71,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10571091);哈尔滨师范大学自然科学基金资助项目(KM2006-09)

摘　　要：对一类光子消灭算符aN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aN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aN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.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.

关 键 词：算符aN 正交归一本征态 迭加态 k次方压缩 

分 类 号：O431[机械工程—光学工程]