第Ⅴ类两态叠加多模叠加态光场的等阶N次方H压缩特性研究

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

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 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详细研究了态|ψ( 2 )5〉q的广义非线性等阶 N次方 H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 ;无论腔模总数 q与压缩阶数 N这两者之积 q· N取奇还是取偶 ,只要各模的初始相位之和 qj =1φj、态间的初始相位之差 (θ( I)nq- θ( o)0 q )等满足一定的量子化条件 ,态 |ψ( 2 )5〉q 总可分别呈现出周期性变化的、任意的奇数模 -奇数阶、奇数模 -偶数阶、偶数模 -偶数阶和偶数模 -奇数阶这四种不同形式的等阶 N次方 H压缩效应 .2 )上述四种不同形式的等阶 N次方 H压缩效应 ,其态间压缩条件完全相同 ,但模间压缩条件完全不同 ,结果使其压缩幅度、压缩结果和压缩特性等各不相同 .3 )无论 q· 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 properties of generalized nonlinear equal order N th power H squeezing of the fifth kind of multimode superposition state light field ｜ψ (2) 5〉 q that is composed 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 is studied in detail by utilizing the theory of multimode squeezed states suggested by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica.It is found that:1)The state ｜ψ (2) 5〉 q is a new type of multimode nonclassical light field,if some certain quantization conditions are satisfied respectively by the initial phase sum qj=1φ j of every mode,and by the initial phase difference (θ (I) nq -θ (o) 0q ) between the two components ｜｛0 j｝〉 q and ｜｛-iZ j｝〉 q mentioned above,the state ｜ψ (2) 5〉 q can always displays the four different forms of generalized nonlinear equal order N th power H squeezing effects such as any odd number mode with odd number order,any odd number mode with even number order,any even number mode with even number order,and any even number mode with odd number order equal order N th power H squeezing effects.2)Because the squeezing conditions satisfied by the initial phase sum of every mode are not the same,the squeezed amplitude,the squeezed consequence,and the squeezed characteristic of the four different forms of equal order N th power H squeezing effects presented by the state ｜ψ (2) 5〉 q mentioned above are quite different though the squeezing conditions satisfied by the initial phase difference between the two components of the state ｜ψ (2) 5〉 q are the same completely.3)Whether the products q·N of the cavity mode number q and the squeezing order number N is an odd number or an even number,the generalized nonlinear equal order N th power H squeezing effects displayed by the first perpendicular component and by the second one of the state ｜ψ (2) 5〉 q can always present the relation of periodical reciprocation.