摘要
构造了由两不同偶相干态组成的第 种四态叠加多模叠加态光场|Ψ (4)e , 〉q,利用新近建立的多模压缩态理论 ,详细研究了态 |Ψ (4)e , 〉q 的广义非线性等阶 N次方 H压缩特性 ,结果发现 :1)当 q .N =2 p(p =1,2 ,3,… )、∑qj =1φj =± kπN(k =0 ,1,2 ,… )时 ,态 |Ψ(4)e , 〉q恒处于等阶 N— H最小测不准态 ;2 )当 q.N为偶数且 q .N =4m - 2 (m =1,2 ,3,… )时 ,在不同的限定条件下 ,态 |Ψ (4)e , 〉q可分别呈现出以下状态 :(1)第一正交分量处于等阶 N— H最小测不准态的同时 ,第二正交分量既不处于等阶 N— H最小测不准态 ,也不呈现等阶 N次方 H压缩效应而使态 |Ψ(4)e , 〉q 呈现“半相干态”效应 ;(2 )第一正交分量呈现等阶 N次方 H压缩效应 ,其压缩情况与第 种四态叠加多模叠加态光场 |Ψ(4)e , 〉q 的情形完全相同 ,出现“部分压缩简并”现象 ;(3)当 q.N为奇数时 ,在一定限定条件下 ,态 |Ψ (4)e , 〉q可处于等阶 N— H最小测不准态 ;在另外限定条件下 ,态 |Ψ(4)e , 〉q 的两个正交分量可分别呈现等阶 N次方
The second four—state superimposition multimode superimposition state light field ｜Ψ (4) e,Ⅱ〉q, composed by two different even coherent states is constituted. With the recently established multimode squeezing state theory,the properties of generalized nonlinear equal—order N—th power H—squeezing of state ｜Ψ (4) e,Ⅱ〉q is studied in detail. It is found: 1)when q·N=2p(p=1,2,3…),Σ[DD(;M]qj=1φj=±kπΝ (k=0,1,2,…), the state ｜Ψ (4) e,Ⅱ〉q constantly presents equal—order N—H minimum unceratinty state;2)whan q·N is an even number and q·N=4m-2(m=1,2,3,…),under different conditions,the state ｜Ψ (4) e,Ⅱ〉q presents the following state respectively:(Ⅰ)as the first quadrature component presents equal—order N—H minimum uncertainty state,the second one presents neither equal—order N—H minimum uncertainty state,nor equal—order N—th power H—squeezing effect,and thus making state ｜Ψ (4) e,Ⅱ〉q present“half coherent state”effect,(Ⅱ)The first quadrature component presents equal—order N—th power H—squeezing effect,its squeezing is the same as the first four—state superimposition multimode superimposition state light field ｜Ψ (4) e,Ⅱ〉q ,presenting“partial squeezing degenerate”;(Ⅲ)When q·Nis an odd number,under certain conditions,state ｜Ψ (4) e,Ⅱ〉qpresents N—Y minimum uncertainty state;under other conditions, the two quadrature components of state ｜Ψ (4) e,Ⅱ〉q presents equal—order N—th power H—squeezing effect.
出处
《商洛师范专科学校学报》
2000年第B10期96-108,共13页
Journal of Shangluo Teachers College
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资助项目
关键词
四态叠加
多模虚偶相干态
多模复共轭虚偶相干态
量子光学
等阶N次方H压缩
多模叠加态光场
压缩效应
four—state superimposition
multimode imaginary even coherent state
multimode complex conjugation imaginary even coherent state
eqeal—order N—H minimum uncertainty state
equal—order N—th power H—squeezing
“half coherl
