一类本征态迭加的高次压缩特性  

Higher-Order Squeezing Properties of One class of Eigenstates

作　　者：任珉[2] 钱妍[3] 廖庆洪[4] 刘正君[4] 马爱群[1] 刘树田[1] 

机构地区：[1]广州大学城建学院,广东广州510925 [2]广州大学抗震中心,广东广州510405 [3]黑龙江大学物理科学与技术学院,黑龙江哈尔滨150080 [4]哈尔滨工业大学物理系,黑龙江哈尔滨150001

出　　处：《量子光学学报》2009年第2期116-122,共7页Journal of Quantum Optics

基　　金：国家自然科学基金(批准号:10674038;10604042);国家重点基础研究发展计划(批准号:2006CB302901)

摘　　要：对一类光子消灭算符aN的正交归一本征态的迭加态的振幅k次方压缩特性进行研究,结果表明一类aN的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=N t或N t/2)次方压缩,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。The characteristics of the k th-power squeezing of a class of superposition states which involving two orthonormalized eigenstates of photon annihilation operator aN are studied. The result show that the characteristics of the k th-power squeezing of a class of superposition states which involving two orthonormalized eigenstates of photon annihilation operator aN are different from the characteristics of the k th-power squeezing of the orthonormalized eigenstates of photon annihilation operator aN clearly. No matter what N is an odd number or even number, the superposition states own amplitude k（k = Nt or Nt/2） th-power squeezing, but for the orthonormalized eigenstates ofaN, only when N is even number there exist amplitude k（ k = （2P ＋ 1 ）N/2） th- power squeezing. Owing to that, when phase difference δ=2mπ/t/t （m is integer） , the superposition states don＇t own amplitude k th-power squeezing; when 6 = 7r, only N and t are odd number simultaneously, the superposition states may own amplitude k th-power squeezing; when 6 = 7r/2, t ≠4m, the superposition states own amplitude k th-power squeezing; thus the phase difference of parameter has key effect on amplitude k thpower squeezing.

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]