多模虚奇、偶相干态的叠加态光场等幂N次方Y压缩  

The equal-order N-th power Y squeezing of multi-mode imaginary-odd and even coherent stats superposition

作　　者：王晋国[1] 王明祥[1] 李英[2] 刘宝盈[2] 魏俊波[1] 

机构地区：[1]长安大学应用物理系,陕西西安710064 [2]商洛师范专科学校量子光学与量子信息研究所,陕西商州726000

出　　处：《西北大学学报（自然科学版）》2005年第1期44-47,共4页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(40174032);陕西省教育厅专项科研基金资助项目 (03JK212);长安大学基金资助项目(04J01)

摘　　要：目的　利用多模压缩态理论,研究态 |Ψ(4)oe V〉q的广义非线性等幂次N次方Y压缩特性。方法　根据量子力学中的态叠加原理,构造了由多模虚奇相干态和多模偶相干态组成的四态叠加多模叠加态光场 |Ψ(4)oeV〉q。结果　①当压缩次数N为偶数时,态 |Ψ(4)oe V〉q始终不呈现广义非线性等幂N次方Y压缩效应: (a)当压缩次数N=4m(m=1, 2, 3,… )时,态 |Ψ(4)oe V〉q处于等幂N Y最小测不准态; (b)当N=4m-2(m=1, 2, 3,…)时,态 |Ψ(4)oe-V〉q呈现半相干态效应。②当压缩幂次N为奇数时,在一定条件下态 |Ψ(4)oeV〉q的第一正交分量和第二正交分量可分别呈现出奇数次和偶数次的广义非线性等幂N次方Y压缩效应。结论　发现了态 |Ψ(4)oe V〉q的广义非线性等幂N次方Y压缩具有某些新的物理性质。Aim By utilizing the multi-mode squeezing state theory, the properties of the equal-order N-th power Y squeezing of state ｜Ψ^((4))_(oe)V〉_q are studied.Methods According to the linear superposition principle of quantum mechanics, the fifth kind of four-state superposition multi-mode superposition states light field ｜Ψ^((4))_(oe)V〉_q is constructed with multi-mode imaginary-odd and even coherent states.Results ①When squeezing order N is an even number, state ｜Ψ^((4))_(oe)V〉_q never represents the equal-order N-th power Y squeezing: a. When N=4 m(m=1,2,3,…) state ｜Ψ^((4))_(oe)V〉_q presents the equal-order N-th minimum uncertainty state; b. When N=4 m′-2 (m′=1,2,3,…), state ｜Ψ^((4))_(oe)V〉_q represents half coherent state. ②When N is odd number, in different conditions, the first and second orthogonal phase components of state ｜Ψ^((4))_(oe)V〉_q respectively represents the odd or even number equal-order N-th power Y squeezing effects.Conclusion The new properties of the equal-order N-th power Y squeezing of state (｜Ψ^((4))_(oe)V〉_q) are found.

关 键 词：量子光学 多模压缩态 等幂N次方Y压缩 半相干态效应 等幂N-Y最小测不准态 

分 类 号：O413.2[理学—理论物理]