第Ⅵ类两态叠加多模叠加态光场的等阶N次方Y压缩特性研究

THE PROPERTIES OF EVEN-NUMBER-ORDER GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING IN THE SIXTH KIND OF MULTIMODE SUPERPOSITION STATE LIGHT FIELD WITH THE SUPERPOSITIONS OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES

本文构造了由多模相干态｜｛Ｚj｝〉q与多模虚相干态｜｛iZj｝〉q这两者的线性叠加所组成的第Ⅵ类两态叠加多模叠加态光场｜Ψ（２）６〉q。利用多模压缩态理论，研究了态｜Ψ（２）６〉q的广义非线性等阶N次方Y压缩特性。结果发现：1)在压缩阶数N＝2p且p＝2l(l＝1，2，3，…，…)的条件下，无论各模的初始相位φj(j＝1，2，3，…，q)、态间的初始相位差(θ（Ｒ）pq－θ（Ｉ）pq)以及各单相干态光场的平均光子数之和qj＝1Rj等如何变化，态｜ψ（２）６〉q总是恒处于偶数阶等阶NY最小测不准态。2)在压缩阶数N＝2p且p＝2l＋１（l＝0，1，2，3，…，…)的条件下，当各模的初始相位φj、态间的初始相位差(θ（Ｒ）pq－θ（Ｉ）pq)以及各单模相干态光场的平均光子数之和qj＝1R２j等分别满足一定的量子化条件(或者在特定的区间内连续取值)时，态｜ψ（２）６）q的第一及第二这两个正交分量总可分别呈现出周期性变化的偶数阶的等阶N次方Y压缩效应.

In this paper,the theory of multimode squeezed state s suggested by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica i s utilized to study the properties of even number order generalized nonlinear equal order N th power Y squeezing of the sixth kind of multi mode superposition state light field ｜ψ（２）６〉q which is composed of the linear superpositions of the multimode coherent state ｜｛Ｚj｝〉q and the multimode imaginary coherent state ｜｛ iZj｝〉q.The results show that 1)Under the condition of the squeezing order number N＝2p and p＝2l (here,l ＝1,2,3,…，…),the state ｜ψ（２）６〉q is always st ayed in the even number order equal order N Y minimum uncert ainty state,whether the initial phase φj (here,j＝1,2 ,3,…，q) of each mode,the initial phase difference (θ （Ｒ）pq－θ（Ｉ）pq） b etween the two components ｜｛Ｚj｝〉q and ｜｛iZj ｝〉q mentioned above,and the sum qj＝1 R２j of mean photon number of each single mode cohere nt state light field in the state ｜ψ（２）６〉q chan ge or not.2)Under the condition of the squeezing order number N＝2p and p＝2l＋1 (here,l＝0，1，2，3，…，…)，the state ｜ψ（２）６〉q can always display the even number o rder generalized nonlinear equal order N th power Y squeezing that changes periodically,when a series of conditions must be satisfied respect ively by the initial phase φj of each mode,by the initial pha se different (θ（Ｒ）pq－θ（Ｉ ）pq） between the two components mentioned,by the sum qj＝1R２j of mean photo n number of each single mode coherent state light field,and by the phase differ ence （θ（Ｒ）pq－θ（ Ｉ）pq－qj＝1R２j.