第Ⅰ种非对称两态叠加多模叠加态光场等阶N次方H压缩——1.腔模总数与压缩阶数两者之积取偶的情形

THE PROPERTIES OF EQUAL-ORDER N-TH POWER H-SQUEEZING IN THE FIRST KIND OF ASYMMETRICAL MULTIMODE SUPERPOSITION STATE LIGHT FIELD WITH THE SUPERPOSITION OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES-WHILE THE PRODUCTS OF SQUEEZED ORDER N

本文利用多模压缩态理论研究了第 种非对称两态叠加多模叠加态光场 |ΨI(ab) 〉q的广义非线性等阶 N次方 H压缩特性 .结果发现 :在腔模总数 q与压缩阶数 N这两者之积 q N为偶数亦即 q N =2 p的条件下 ,无论 p=2 m( m=1 ,2 ,3 ,… ,… )还是 p=2 m+1 ( m=0 ,1 ,2 ,… ,… ) ,当两非对称态中各模的初始相位和 qj=1φ(a)j 、 qj=1φ(b)j 、态间的初始相位差 (θb Ipq-θa Rnq) ,以及各单模相干态光场的光子干涉项之和 qj=1[R(a)j R(b)j ]cos( φ(a)j -φ(b)j ) ]等满足一定条件时 ,态 |ΨI(ab)〉q可分别呈现出周期性变化的奇数模 -偶数阶、偶数模 -奇数阶和偶数模 -偶数阶的等阶 N次方

In the paper,the properties of equal-order N-th power H-squeezing in the first kind of asymmetrical multimode superposition state light|Ψ I (ab)> qwith the superposition of macroscopically distinct two quantum states is studied in detail,by utilizingthe theory of multimode squeezed states.It is found that if the products of squeezed order number N and cavity mode number q is an even number or qN=2P,and if some certain conditions are satisfied respectively by the sum qj=1φ (a) j, qj=1φ (b) j,of the initial phases of all mode,by the initial phase difference (θ (bI) pq-θ (aR) nq)between the two components of the state|Ψ I (ab)> q,and by the photon intervene term sum qj=1 (a) jR (b) jcos(φ (a) j-φ (b) j)]of each-mode coherent state light field,the state |Ψ I (ab)> qcan display the effects of odd-number-mode-even-number-order,even-number-mode-odd-number-order,even-number-mode-even-number-order equal-order N-th power H-squeezing no matter what P=2m or P=2m+1,that changes periodcally.This result is different from the result reported in current references .