两不同奇相干态组成的第Ⅲ种四态叠加多模叠加态光场的等阶N次方H压缩  

EQUAL-ORDER N-TH POWER H-SQUEEZING OF THE THIRD FOUR-STATE SUPERIMPOSITION MULTIMODE SUPERIMPOSITION STATE LIGHT FIELD COMPOSED BY TWO DIFFERENT ODD COHERENT STATE

作　　者：刘宝盈[1] 许定国[1] 陈永庄[1] 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 [2]西北大学光子学与光子技术研究所

出　　处：《光子学报》2001年第8期921-929,共9页Acta Photonica Sinica

基　　金：陕西省自然科学基金;陕西省教育厅专项科研基金资助项目&&

摘　　要：本文构造了由两不同奇相干态组成的第 种四态叠加多模叠加态光场 |ψ(4 )o , 〉q.利用新近建立的多模压缩态理论 ,详细研究了态 |ψ(4 )o , 〉q的广义非线性等阶 N次方 H压缩特性 ,结果发现由多模奇相干态 |ψ,o〉q和多模虚奇相干态 |ψ(2 )i ,o〉q这两者线性叠加所组成的新量子光场态、|ψ(4 )o , 〉q是一种典型的非经典光场 .1 )当腔模总数 q与压缩阶数 N的乘积 q·N为偶数、且 q N=4m( m=1 ,2 ,3 ,… ,… )时 ,态 |ψ(4 )o , 〉q恒处于等阶 N-H最小测不准态 ,与其它参量的取值无关 ;2 )当 q N为偶数、且 q N=4m-2 ( m=1 ,2 ,3 ,… ,… )时 ,( i)态 |ψ(4 )o , 〉q可呈现等阶 N次方 H压缩效应 ,其两正交分量的压缩特性呈现周期性变化的、互补对称关系 ;( ii)态 |ψ(4 )o , 〉q可呈现“半相干态”效应 .3 )当 q N为奇数时 ,态 |ψ(4 )o , 〉q始终不呈现等阶N次方 H压缩效应 ,也不处于等阶 N-H最小测不准态 ,但在一定条件下可呈现“半相干态”效应 .According to the linear superimposition principle in quantum mechanics,the third four state superimposition multimode superimposition light field ｜Ψ (4) o,Ⅲ〉 q composed by two different odd coherent state ｜Ψ,o〉 q and ｜Ψ (2) i,o〉 q Based on the multimode squeezed state theory,the properties of equal N th power Y squeezing of the state ｜Ψ (4) o,Ⅲ〉 q is studied,and it is found that:1)when N=4m(m=1,2,3,…,…),the state ｜Ψ (4) o,Ⅲ〉 q always stayed in equal order N Y minimum uncertainty state;2)when N=4m-2(m=1,2,3,…,…),under some conditions,while one quadrature component of the state ｜Ψ (4) o,Ⅲ〉 q appears as equal order N Y minimum uncertainty state,the other quadrature component appears neighter as equal order N th power Y squeezing action nor as equal order N Y minimum uncertainty state,thus,the state ｜Ψ (4) o,Ⅲ〉 q appears as “half coherent state”;under otherdifferent conditions,the state ｜Ψ (4) o,Ⅲ〉 q appears as equal order N th power Y squeezing action,and the squeezed properties of two quadrature components has periodic changeable and complimantary relationship 3)when N is an odd number,the state ｜Ψ (4) o,Ⅲ> q alawys appears neither as equal order N th power Y squeezing action nor as equal order N Y minimum uncertainty state,but,under some conditions,appears as “half coherent state”

关 键 词：四态叠加 多模叠加态光场 多模奇相干态 多模虚奇相干态 等阶N-H最小测不准态 等阶N次方H压缩 半相干态 量子光学 

分 类 号：O431.2[机械工程—光学工程]