第Ⅸ类两态叠加多模叠加态光场的 广义非线性N次方Y压缩特性研究  

Study on the Properties of Generalzted Nonlinear Equal-Power N-th Power Y-Squeezing in the Ninth Kind of the Superpositions of Macroscopically Distinct Two Quantum States

作　　者：夏聪玲[1] 杨志勇[2] 陈永庄[3] 刘宝盈[3] 张继良[3] 王明祥[4] 

机构地区：[1]西北大学物理学系,西安710069 [2]西北大学光子学与光了技术研究所西北大学光电子技术省级重点开放实验室 [3]商洛师范专科学校量子光学与量子信息研究所商洛师范专科学校物理系,陕西商州726000 [4]长安大学基础课部,西安710061

出　　处：《商洛师范专科学校学报》2001年第4期10-19,共10页Journal of Shangluo Teachers College

基　　金：陕西省自然科学基金(批准号:2001SL4;2000SL10);陕西省教委专项科研基金(批准号:99JKO91; OOJK11

摘　　要：根据量子力学中的线性叠加原理，构造了由多模真空态 和多模虚相干态 这两者的线性叠加所组成的第Ⅸ类两态加多模叠加态光场 利用多模压缩态理论，对态 的 广义非线性Ｎ次方Ｙ压缩特性进行了详细研究．结果发现：（１）、无论压缩次数Ｎ取奇还是取偶，只 要各模的初始相位(ｊ＝１，２，３，…ｑ）和态间的初始相位差（ ）分别满足一定的量子优化条 件，态 的第一和第二这两个正交分量总可分别呈现出周期性变化的任意奇数次和任意偶 数次的广义非线性Ｎ次方Ｙ压缩效应；（２）、本文所构造的态 与文献[１１］构造的态 ， 两者在一定条件下可分别呈现出“Ｎ次方Ｙ相似压缩”和“Ｎ次方Ｙ压缩简并”现象．According to the Linear superpositon principle in quantum mechanics ,the ninth kind of two ligtht Field is constructed that is composed of multimode vaccum state light field And then the multimode squeezed state theory suggested by Yang Zhiyong and Hou Xun and Published in Acta Photonica Sinica is utlized to study the properties of generalized nonlinear equal- power N-th power Y-squeeting of the state mentioned above. It is found that ①、whether the squeezing-power-number N is an odd-number or an even-number, while some certain quantization conditions are satisfied by the initial phase of each mode and by the initial phase difference( ) between two components of the state respectively ,the state can always present any odd-number power any even-number N-th power Y-squeezing effects which changes periodically. ② Compared with the reference [11] ,the state constructed in this paper is rathier different from the state constructed in reference [11] ,under some fixed conditions the states and can display the phenomena of N-th power Y-similitude- squeezing and N-th power Y-degenerate-squeezing.

关 键 词：两态叠加 多模叠加态光场 N次方Y压缩 N次方Y压缩简并 N次方Y相似压缩 量子光学 

分 类 号：O431.2[机械工程—光学工程]