第V类两态叠加多模叠加态光场的广义非线性等阶N次方Y压缩  

THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING IN THE FIFTH KIND OF MULTIMODE SUPERPOSITION STATE LIGHT FIELD WITH THE SUPERPOSITIONS OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES

作　　者：杨志勇[1] 张书玲[2] 侯瑶[3] 韩小卫[1] 侯洵[1] 

机构地区：[1]西北大学光子学与光子技术研究所西北大学光电子技术省级重点开放实验室 [2]西北大学数学系,西安710069 [3]西北大学物理学系,西安710069

出　　处：《光子学报》2001年第6期641-650,共10页Acta Photonica Sinica

基　　金：陕西省自然科学基金;陕西省教委专项科研基金;西北大学科学基金资助项目

摘　　要：本文构造了由多模真空态 |{ 0 j}〉q和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 V类两态叠加多模叠加态光场 |ψ( 2 )5〉q.利用多模压缩态理论 ,研究了态 |ψ( 2 )5〉q的广义非线性等阶 N次方 Y压缩特性 .结果发现 :1 )态 |ψ( 2 )5〉q 是一种典型的多模非经典光场 ;无论压缩阶数 N取奇还是取偶 ,只要各模的初始相位φj( j=1 ,2 ,3 ,… ,… ,q)和态间的初始相位差 (θ( I)nq-θ( o)oq )等满足一定的取值条件 ,态 |ψ( 2 )5〉q 总可呈现出周期性变化的、任意奇数阶和任意偶数阶的广义非线性等阶 N次方 Y压缩效应 .2 )态 |ψ( 2 )5〉q所分别呈现的任意奇数阶和任意偶数阶的等阶 N次方 Y压缩效应 ,其压缩条件、压缩特征以及压缩程度和压缩深度等各不相同 .3 )无论压缩阶数 N取奇还是取偶 ,态 |ψ( 2 )5〉q的第一和第二这两个正交分量的等阶N次方In this paper,the theory of multimode squeezed states established by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica is utilized to study the properties of generalized nonlinear equal order N th power Y squeezing of the fifth kind of multimode superposition state light field ｜ψ (2) 5〉 q that is made of the linear superpositions of multimode vaccum state ｜｛0 j｝〉 q and the contrary state ｜｛-iZ j｝〉 q of multimode imaginary coherent state ｜｛iZ j｝〉 q It is found that 1)the state ｜ψ (2) 5〉 q is one of the typical multimode nonclassical light field,if some certain quantization conditions are satisfied respectively by the initial phase φ j (here,j=1,2,3,…,…,q) of each mode,and by the initial phase difference (θ (I) nq -θ (o) oq ) between the two components ｜｛0 j｝〉 q and ｜｛-iZ j｝〉 q mentioned above,the state ｜ψ (2) 5〉 q can always displays both any odd number order generalized nonlinear equal order N th power Y squeezing while the squeezing order number N is an odd mumber and any even number order generalized nonlinear equal order N th power Y squeezing while the squeezing order number N is an even number,that changes periodically 2)since the squeezing conditions are not the same for the two different situations that the squeezing order number N is equal to an odd number and to an even number respectively,the squeezing characteristic,the squeezing degree and the squeezing depth are also quite different when the state ｜ψ (2) 5〉 q presents any odd number order and any even number order generalized nonlinear equal orderN th power Y squeezing respectively 3)whether the squeezing order number N is an odd number or an even number,the equal order N th power Y squeezing effects displayed by the first perpendicular component and by the second perpendicular component of the state ｜ψ (2) 5〉 q mentioned can always display the relation of period

关 键 词：两态叠加 多模非经典光场 多模振幅薛定谔猫态 等阶N次方Y压缩 光场 

分 类 号：O431.2[机械工程—光学工程]