第Ⅱ种强度不等的非对称两态叠加多模叠加态光场的偶数阶等阶N次方Y压缩

THE PROPERTY OF EVEN NUMBER-ORDER EQUAL-ORDER N-TH POWER Y-SQUEEZING IN A NEW TYPE OF MULTI-MODE LIGHT FIELD STATE OF DIFFER INTENSITY OF NONSYMMETRY SUPERIMPOSITIONS STATE WITH DISTINGUISHABLE TWO QUANTUM STATES IN THE KIND (Ⅱ)

本文构造了由多模复共轭相干态的相反态 |{ -Z(a) *j }〉q 与多模虚共轭相干态的相反态|{ -i Z(b) *j }〉q这两者的线性叠加所组成的第 种强度不等的非对称两态叠加多模叠加态光场|Ψ(ab) 〉q,利用多模压缩态理论研究了态 |Ψ(ab) 〉q的任意偶数阶等阶 N次方 Y压缩特性 .结果发现 :1 )在压缩阶数 N取偶数 ,即 N =2 p的条件下 ,无论 p=2 m( m=1 ,2 ,3 ,… ,… ) ,还是 p=2 m+1 ( m=0 ,1 ,2 ,3 ,… ,… ) ,只要构成态 |Ψ(ab) 〉q的两个不同的量子光场态中各对应模的强度(即平均光子数 )和初始相位都不相等 ,亦即 R(a)j ≠ R(b)j 和φ(a)j ≠φ(b)j ( j=1 ,2 ,3 ,… ,q) ,并且 qj =1R(a) 2 pj ≠ qj =1R(b) 2 pj ,则当满足一定的量子化条件 (或者在一些闭区间内连续取值 )时 ,态|Ψ(ab) 〉q总可呈现出周期性变化的、任意偶数阶的等阶 N次方 Y压缩效应 .2 )在 N =2 p且 p=2 m+1 ( m=0 ,1 ,2 ,3 ,… ,… )的条件下 ,若 R(a)j =R(b)j 和 φ(a)j =φ(b)j ( j=1 ,2 ,3 ,… ,q) ,态 |Ψ(ab) 〉q则可呈现出等阶 N次方

It is constructed the kind (Ⅱ) of differ intensity of nonsymmetry state supermposition state light field |Ψ (ab) Ⅱ> q with two different kind of multi-mode complex conjugation coherent state of contrary state |{-Z (a) j}> q and multi-mode imaginary conjugation coherent state of contrary state |{-iZ (b)* j} N-th power Y-squeezing effect on a new state |Ψ (ab) Ⅱ> q,by utilizing the theory of multi-mode squeezed states.p=2m+1(m=0,1,2,3,...,...),if R (a) j≠R (b) j,φ (a) j≠φ (b) j(j=1,2,3,...,...,q) and qj=1R (a)2p j≠qj=1R (b)2p j,while the quantization conditions are satisfied by constructed state |Ψ (ab) Ⅱ> q (or changes continuously within of squeezed regions),the quantum state |Ψ (ab) Ⅱ> q can always present the effect of periodic changed,any even number-order equal-order N-th power Y-squeezing.2)In this conditions that N=2p and p=2m+1,if R (a) j=R (b) j,φ (a) j=φ (b) j(j=1,2,3,...,...,q),the state |Ψ (ab) Ⅱ> q can always present equal-orderN-th power Y-squeezing of degenerate squeezing appearance.