态|ψ_3^((3))〉_q中广义磁场分量的N次方Y压缩效应

THE PROPERTIES OF N-TH POWER Y-SQUEEZING OF GENERALIZED MAGNETIC FIELD COMPONENT IN THE STATE ｜ψ_3^((3)) 〉_q

构造了由多模复共轭相干态 | {Z j}〉q、多模复共轭虚相干态 | {iZ j}〉q和多模真空态| {0 j}〉q 这三态的线性叠加所组成的第Ⅲ类三态叠加多模叠加态光场 | ψ(3)3 〉q 利用多模压缩态理论研究了态 | ψ(3)3 〉q 中广义磁场分量的任意偶数次广义非线性等幂次N次方Y压缩特性 结果发现 :在压缩次数N取偶数 ,只要各模的初始相位 φj( j=1 ,2 ,3,… ,… ,q) ,态间的初始相位差 (θi-θ2 ) (i=1 ,3)和各单模相干态光场平均光子数R2 j 之和 qj=1R2 j 分别满足各自的取值条件 ,态 | ψ(3)3 〉q 的广义磁场分量 (即第一正交相位分量 )就可呈现出周期性变化的。

The third kind of the three state superpositions multimode superposition state light field ｜ψ (3) 3〉 q is constructed that is composed of the linear superpositions of multimode complex conjugation coherent state ｜｛z * j｝〉 q , multimode complex conjugation imaginary coherent state ｜｛i z * j｝〉 q and the multimode vaccum state ｜｛0 j｝〉 q . By utilizing the theory of multimode squeezed state, the properties of generalized nonlinear equal power N th power Y squeeing of the generalized magnetic field componant in the state ｜ψ (3) 3〉 q are studied systematically. It is found that the state ｜ψ (3) 3〉 q is a new type of three state superpositions multimode nonclassical light field. If the sqeezed power N=2P and P=2m(m=1,2,…), while the some conditions are satisfied by the initial phase φ j of each mode, and the initial phase difference (θ i-θ 2)(i=1,3) between the three components in the state ｜ψ (3) 3〉 q , the generalized magnetic field component (or the first perpendicular phase component) in the state ｜ψ (3) 3〉 q can presents any power equal power 4m th power Y squeezing properties which changes periodically; If the squeezed power N=2P and P=2m+1(m=0,1,2,…), while the some other conditions are satisfied by φ j,(θ i θ 2) and qj=1R 2 j, the sum of average photon numbers of all the single mode coherent state light field, the generalized magnetic field component in the state ｜ψ (3) 3〉 q can display any power equal power 2 (2m+1) th power Y squeezing properties too, that changes periodically.