第Ⅶ类两态叠加多模叠加态光场的高次和压缩

The Effects of Generalized Nonlinear N-th Power Sum Squeezing on Seventh Kind of Multimode Superposition State Light Field with Superpositions of Macroscopically Distinct Two Quantum States

利用多摸压缩态理论，研究了由多模相干态 和多模虚相干态的相反态 这两者的线性叠加所组成的第Ⅶ类两态叠加多模叠加态光场 的广义非线性高次和压缩效应．结果发现：态 是一种典型的多模非经典光场；在腔模总数ｑ与压缩次数Ｎ这两者之积为偶数亦即ｑＮ＝２ｐ并且ｐ＝２ｍ＋１（ｍ＝０，ｌ，２，３，…）的条件下，只要各模的初始相位和 满足一定的量子化条件，则当态间初始相位差与单个多模相干态光场的总和平均光子数两者之和 在一定的闭区间内连续取值时，态 的第一和第二正交分量分别呈现出周期性变化的高次和压缩效应。

In this paper,the multimode squeezed state theory established by yang Zhiyong and Hou Xun and published in Acta Photonica Sinica is utilized to study the effects of Generalized nonlinear N-th power sum squeezing is seventh kind of Multimode superposition state light field which is composed of the linear superpositions of multimode coherent state and contrary state of multimode imaginary coherent state . It is found that under the conditions of the products q ·N=2p and p=2m+l(m=0,1,2,3, …)where q represents the cavity-mode number and N represents the squeezing power number,while some certain quantization conditions are satisfied by the initial phase sum of each mode,and while the mixing phase sum + made of the initial phase difference( ) between the two components of the state and the mean photon number of each multimode coherent state light field mentioned above changes continuously in the foxed and closed region,the state can always present the effects of generalized nonlinear N-th power sum squeezing that chandes periodically.This shows that the state is a typical multimode nonchasical light field.