第Ⅵ类两态叠加多模叠加态光场的广义非线性等阶N次方H压缩

THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER H-SQUEEZING IN THE SIXTH KIND OF MULTIMODE SUPERPOSITION STATE LIGHT FIELD WITH THE SUPERPOSITIONS OF A MULTIMODE COHERENT STATE AND A MULTIMODE IMAGINARY COHERENT STATE

本文根据量子力学中的线性叠加原理 ,构造了由多模相干态 |{ Zj}〉q与多模虚相干态|{ 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 |φ(2 )6〉q.利用多模压缩态理论 ,研究了态 |φ(2 )6〉q 的广义非线性等阶 N次方 H压缩特性 .结果发现 :1 )在腔模总数 q与压缩阶数 N这两者之积取偶数亦即 q N=2 p的条件下 ,如果 p=2 l(l=1 ,2 ,3 ,… ,… ) ,则无论各模的初始相位和 qj =1φj、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 等如何变化 ,态 |φ(2 )6〉q总是恒处于等阶 N - H最小测不准态 .2 )在 q N =2 p的条件下 ,如果 p =2 l+1 (l=0 ,1 ,2 ,3 ,… ,… ) ,则当 qj =1φj、(θ(R)pq -θ(I)pq)、 qj =1R2j、[(θ(R)pq -θ(I)pq) - qj =1R2j]等分别满足一定的量子条件 (或者在一些特定的闭区间内连续取值 )时 ,态 |φ(2 )6〉q 总可呈现出周期性变化的等阶 N次方 H压缩效应 .

According to the linear superposition principle of quantum mechanics, in this paper, the sixth kind of multimode superposition state light field |ψ (2) 6> q which is composed of the linear superposition of multimode coherent state|{Z j}> q and multimode imaginary coherent state |{iZ j}> q is constructed.By utilizing the theory of multimode squeezed states established by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica from the April of 1998 to the May of 1999,the properties of generalized nonlinear equal-order WTBXN-th power H-squeezing of the state |ψ (2) 6> q mentioned above is studied firstly in detail.It is found that 1)under the condition of the products of total cavity-mode-number and squeezing-order-mumber or qN=2p and p=2l (here,l=1,2,3,...,...,),the state |ψ (2) 6> q is always stayed in the equal-order (or N=4l/q) N-H minimum uncertainty state,whether the initial phase sum qj=1DD)JB)φ j of all modes,the initial phase difference (θ (R) pq-θ (I) pq) between the two compenents |{Z j}> q and |{iZ j}> q mentioned,and the sum qj=1DD)JB)R 2 j of mean photon number of each single-male coherent state light field in the state |ψ (2) 6> q,WTBZand the phase difference JB(θ (R) pq-θ (I) pq)-qj=1DD)R 2 jJB)]