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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
引用本文:杨志勇,董庆彦,侯瑶,薛红,侯洵.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[J].光子学报,2001,30(7):769-779.
作者姓名:杨志勇  董庆彦  侯瑶  薛红  侯洵
作者单位:1. 西北大学光子学与光子技术研究所,西北大学,西北大学现代物理研究所,
2. 西北大学物理学系,
3. 西北大学光子学与光子技术研究所,渭南师范学院量子光学与光子学研究室,
4. 西北大学光子学与光子技术研究所,中国科学院西安光学精密机械研究所,
基金项目:陕西省自然科学基金,陕西省教育厅专项科研基金,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|{Oj}〉q和多模虚相干态的相反态|{-iZj}〉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ψ5(2)q,利用多模压缩态理论详细研究了态 ψ5(2)q的广义非线性等阶N次方H压缩特性.结果发现:1)态ψ5(2)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 、态间的初始相位之差(θnq(I)-θoq(o))等满足一定的量子化条件,态ψ5(2)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ψ5(2)q的第一和第二这两个正交分量的等阶N次方H压缩效应总是呈现周期性的互补关系.

关 键 词:两态叠加  多模非经典光场  等阶N次方H压缩  奇数模-奇数阶等阶N次方H压缩  奇数模-偶数阶等阶N次方H压缩  偶数模-偶数阶等阶N次方H压缩  偶数模-奇数阶等阶N次方H压缩
收稿时间:2000-12-29
修稿时间:2000年12月29

THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER H-SQUEEZING IN THE FIFTH KIND OF MULT IMODE SUPERPOSITION
Yang Zhiyong,Dong Qingyan,Hou Yao,Xue Hong,Hou Xun.THE PROPERTIES OF GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER H-SQUEEZING IN THE FIFTH KIND OF MULT IMODE SUPERPOSITION[J].Acta Photonica Sinica,2001,30(7):769-779.
Authors:Yang Zhiyong  Dong Qingyan  Hou Yao  Xue Hong  Hou Xun
Abstract: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 ψ5(2)q that is composed of the linear superpositions of multimode vaccum state |{Oj}〉q and the contrary state |{-iZj}〉qof multimode imaginary coherent state |{iZj}〉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 ψ5(2)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(θnq(I)oq(o))between the two components |{Oj}〉q and |{-iZj}〉qmentioned above,the state ψ5(2)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 ψ5(2)q mentioned above are quite different though the squeezing conditions satisfied by the initial phase difference between the two components of the state ψ5(2)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 ψ5(2)q can always present the relation of periodical reciprocation.
Keywords:Superpositions of macroscopically distinct two quantum states  Multimode nonclassical light field  Equal  order N  th power H  squeezing  Odd  number  mode with odd  number  order equal  order N  th power H  squeezing  Odd  number  mode with even
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