两类多模量子叠加态的偶数次不等幂次N_j次方Y压缩  

The Effects of Even-number-order Unequal-power N_jth Power Y-squeezing on the Two Kind of Multi-mode Quantum Superposition States

作　　者：孟继德[1] 

机构地区：[1]江苏技术师范学院电气信息工程学院,江苏常州213001

出　　处：《江苏技术师范学院学报》2005年第4期8-13,共6页Journal of Jiangsu Teachers University of Technology

基　　金：江苏技术师范学院科研基金资助项目(KYY03042)

摘　　要：利用多模压缩态理论,研究了由多模复共轭相干态z(a)*j!"〉q=R(a)!jexp(-iφj)"〉q和多模虚相干态±iz(b)*j!"〉q=±iR(b)!jexp(-iφj)"〉q的线性叠加所组成的两类非对称多模量子叠加态ψ(2)±〉q在各个模的压缩阶数全为偶数即Nj=2pj(j=1,2,3,……q,pj=1,2,3,……)的条件下的偶数次不等幂次Nj次方Y压缩效应。结果发现:如果各个模初始位相φj以及态z(a)*j!"〉q和±iz(b)*j!"〉q之间的初始相位差θ(R)pq-θ(I)nq与各个对应模的振幅R(a)j和R(b)j的乘积的总和qj=1#R(a)jR(b)j所组成的混合初始相位(θ[R]pq-θ(I)nq)+q!!j=1#R(a)jR(b)j$%分别满足一定的条件时,态ψ(2)±〉q总可呈现出周期变化的偶数次不等幂次Nj次方Y压缩效应。当pj均为奇数时可获得较大的压缩深度。In this paper, the multi-mode squeezed state theory is utilized to study the effects of even number-order unequal-power Njth power Y-squeezing on the two kind of multi-mode quantum superposition states ｜ψ±^（2）〉q that is made of the linear superposition of the muhimode coherent state ｜{Rj^（a）exp（-iφj）}〉q and the multi-mode imaginary coherent states ｜±iRj^（b）exp（-iφj）}）q .when the squeezing order number Nj of each mode is even number, viz. Nj=2pj（j=1,2,3,…… q, pj=1,2,3,…… ）, it is found that two kind of ｜ψ±^（2）〉）q Can always display respectively the generalized nonlinear even-numberorder unequal-power Njth power Y-squeezing effects which changes periodically while the some conditions are satisfied respectively by the initial phase φj of each mode,and by initial mixing-phase [（θpq^[R]-θnq^（I））＋^-∑（q,j=1）Rj（a）Rj（b）] which is composed of the initial phase difference θpq^[R]-θnq^（I） between the two components of the state ｜ψ±^（2）〉）q qmentioned above and the sum ∑（q,j=1）Rj（a）Rj（b）] the products Rj^（a）Rj^（b）of amplitudes Rj^（a）and Rj^（b）.The squeezing-intensity is bigger when the pj is odd number.

关 键 词：量子光学 多模压缩态 非对称两态叠加 多模量子叠加态 不等幂偶次方Y压缩效应 

分 类 号：O431.2[机械工程—光学工程]