第Ⅶ类两态叠加多模叠加态光场的偶数阶等阶N次方Y压缩

THE EFFECT OF EVEN-NUMBER-ORDER EQUAL-ORDER N-TH POWER Y-SQUEEZING ON THE SEVENTH 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与多模虚相干态的相反态 |{-i Zj}〉q这两者的线性叠加所组成的第 类两态叠加多模叠加态光场 |ψ(2 )7〉q.利用多模压缩态理论 ,研究了态|ψ(2 )7〉q 的偶数阶等阶 N次方 Y压缩特性 .结果发现 :在压缩阶数 N =2 p、并且 P=2 m+1( m=0 ,1 ,2 ,3 ,… ,… )的条件下 ,如果各模的初始相位 φj( j=1 ,2 ,3 ,… ,q)、态间的初始相位差与各单模相干态光场的平均光子数之和 [( θ(R)pq -θ(I)nq) + qj =1R2j]等分别满足一定的取值条件 ,则在这种情况下态 |ψ(2 )7〉q可呈现出周期性变化的偶数阶等阶 N次方 Y压缩效应 .

In this paper,the multimode squeezed state theory constructed by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica is utilized to study the effects of even number order equal order N th power Y squeezing on the seventh kind of multimode superposition state light field |ψ (2) 7> q that is made of the linear superpositions of the multimode coherent state |{Z j}> q and the contrary state |{-iZ j}> q of the multimode imaginary coherent state |{iZ j}> q.It is found that under the conditions of the squeezing order number N=2p and p=2m+1 (here,m=0,1,2,3,...,...),the state |ψ (2) 7> q can always display the even number order generalized nonlinear equal order N th power Y squeezing effects which changes periodically while some other conditions are satisfied respectively by the initial phase φ j(here,j=1,2,3,...,q) of each mode,and by the initial mixing phase (R) pq -θ (I) nq )+qj=1R 2 j]which is composed of the initial phase difference (θ (R) pq -θ (I) nq ) between the two components of the state |ψ (2) 7> q mentioned above and the sum qj=1R 2 j of the mean photon number of each single mode coherent state light field in the two components of the state |ψ (2) 7> q.