态|Ψ(3)〉q中广义电场分量的不等幂次Nj次方Y压缩

利用多模压缩态理论,研究了由多模复共轭虚相干态|{iZ_j^*}〉q、多模复共轭虚相干态的相反态|{-iZ_j^*}〉q和多模复共轭相干态|{Z_j^*}〉q的线性叠加所组成的新型三态叠加多模叠加态光场|Ψ⁽³⁾〉_q中广义电场分量的偶数次不等幂次Nj次方Y压缩特性.结果发现:在各模的压缩次数N_j=2pj且pj=2m′j+1(m′j=0,1,2,3,…,…)和Nj′=2pj′且pj′=2m′j′+1(m′j′=0,1,2,3,…,…)的条件下,当各模的初始相位φ_j与φ_j′、态间的初始相位差(θ₁-θ₃)与(θ₂-θ₃),以及各单模相干态光场总的平均光子数之和qj=1R2j等分别满足一定的取值条件时,态|Ψ⁽³⁾〉_q的广义电场分量(即第二正交相位分量)总可呈现出周期性变化的、偶数次的广义非线性不等幂次N_j次方Y压缩效应.

Even-number-power Generalized Nonlinear Unequal-Power Nj-th Power Y-Squeezing of Generalized Electric Field Component in the State |Ψ(3)〉q

It is studied systematically that even-number-power generalized nonlinear unequal-power N_j-th power Y-squeezing properties of generalized electric field component in a new type of three state superposition multimode superposition state light field |Ψ(3)> q which is made of the multimode complex conjugation imaginary coherent state |{iZ_j^*}〉q, the contrary state |{iZ_j^*}〉q of multimode complex conjugation imaginary coherent state |{iZ_j^*}〉q, and the multimode complex coherent state |{iZ_j^*}〉q, by utilizing the multimode squeezed state theory established recently. It is found that if the squeezed-power-number of each mode in the state |Ψ⁽³⁾〉_q both N_j=2pj, pj=2m′j+1(m′(here j=0,1,2,3,…,…) and pj′=2m′j′+1(m′(here j′=0,1,2,3,…,…), while some certain conditions are satisfied respectively by the initial phase φ_j and φ_j′ of each mode in the state |Ψ⁽³⁾〉_q, by the initial phase difference(θ₁-θ₃)and(θ₂-θ₃)between any two components in the state |Ψ⁽³⁾〉_q, and by the sum of mean photon-numbers of all the single-mode coherent state light field, the generalized electric field component(or the second perpendicular phase component)in the state |Ψ⁽³⁾〉_q can always display the effects of even-number-power generalized nonlinear unequal-power N_j-th power Y-squeezing which changes periodically.