由奇偶相干态组成的第Ⅳ种四态叠加多模叠加态光场的等阶N次方Y压缩  

EQUAL-ORDER N-TH POWER Y-SQUEEZING OF THE FOURTH FOUR-STATE SUPERIMPOSITION MULTI-MODE SUPERIMPOSITION STATE LIGHT FIELD COMPOSED BY IMAGINARY-EVEN AND ODD COHERENT STATE LIGHT FIELD

作　　者：李英 许定国[1,2] 陈永庄[1] 明崇善 杨志勇[2] 

机构地区：[1]商洛师范专科学校量子光学与量子信息研究所,物理系 [2]西北大学光子学与光子技术研究所,西北大学光电子技术省级重点开放实验室,西安710069 [3]西安铁路运输学校物理教研室

出　　处：《光子学报》2001年第12期1435-1441,共7页Acta Photonica Sinica

基　　金：陕西省自然科学基金 ( 2 0 0 0 SL1 0 );陕西省教育厅专项科研基金 ( 0 0 JK1 1 5 );商洛师范专科学校科研基金资助项目

摘　　要：根据量子力学中的线性叠加原理 ,构造了由多模奇相干态和多模虚偶相干态组成的第 种四态叠加多模叠加态光场 |Ψ(4)oe , 〉q.利用多模压缩态理论 ,研究了态 |Ψ(4)oe , 〉q的等阶N次方 Y压缩特性 .结果发现 :1 )当压缩阶数为偶数时 ,态 |Ψ(4)oe , 〉q始终不呈现等阶 N次方Y压缩效应 .a)当压缩阶数 N=4m(m=1 ,2 ,3 ,…… )时 ,态 |Ψ(4)oe , 〉q恒处于等阶 N- Y最小测不准态 ;b)当 N=4m′+2 (m′=0 ,1 ,2 ,…… )时 ,态 |Ψ(4)oe , 〉q可呈现“半相干态”效应 ;2 )当压缩阶数为奇数时 ,在不同的条件下 ,态 |Ψ(4)oe , 〉q可分别呈现以下几种状态 :a)第一正交分量可呈现等阶 N次方 Y压缩效应 ;b)第二正交分量可呈现等阶 N次方 Y压缩效应 ;c)态 |Ψ(4)oe , 〉q可呈现“半相干态”效应 .According to the linear superimposition principle of quantum mechanics in this paper, the fourth kind of four-state superimposition multimode superimposition state light field |Ψ (4) oe,Ⅳ> q with multi-mode imaginary-even and odd coherent state light field is constructed,by utilizing the theory of multi-mode squeezed state,the properties of the squal-order N-th power Y-squeezing of state |Ψ (4) oe,Ⅳ> q is studied.It is found that:1)When squeezing order N is even number,both of the two quadrature component of state |Ψ (4)WTBZ oe,Ⅳ> q don′t present the properties of NWTBZ-th Y-squeezing:a.When N=4m(m=1,2,3,......),state WTBX|Ψ (4) oe,Ⅳ> q presents the equal-order N-Y minimum uncertainty state;B.when N=4m′+2(m′=0,1,2,......),state |Ψ (4) oe,Ⅳ> q presents 'half-coherent state'.2)When squeezing order N is odd number,in the different condition,state |ΨWTBZ (4) oe,Ⅳ> q presents the follow state:a.The first quadrature component of the state |Ψ (4) oe,Ⅳ> q presents the properties of N-th power Y-squeezing;b.the second quadrature component of the state |ΨWTBZ (4) oe,Ⅳ> q presents the properties of N-th power Y-squeezing;c.The state |Ψ (4) oe,Ⅳ> q presents the effect of 'half-coherent state'.

关 键 词：多模奇相干态 多模虚偶相干态 四态叠加 多模叠加态 等阶N次方Y压缩 “半相干态” 量子光学 光场 

分 类 号：O431.2[机械工程—光学工程]