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 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 Nth 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... 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 Nth 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 cavitymode 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 Nth power sum squeezing that chandes periodically.This shows that the state is a typical multimode nonchasical light field.  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。  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 Nth power Ysqueeting of the state mentioned above. It is found that ①、whether the squeezingpowernumber N is an... 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 Nth power Ysqueeting of the state mentioned above. It is found that ①、whether the squeezingpowernumber N is an oddnumber or an evennumber, 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 oddnumber power any evennumber Nth power Ysqueezing 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 Nth power Ysimilitude squeezing and Nth power Ydegeneratesqueezing.  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．  The second kind of the three state superposition multimode superposition state light fieldψ (3) 2> q is constructed,that is composed of multimode imaginary coherent state{iZ j}> q,contrary state{iZ j}> q of multimode imaginary coherent state {iZ j> q and multimode vaccum state{0 j}> q.And then the multimode squeezed state theory suggested by YangZhiyong and Hou Xun is utilized to study the properties of generalized nonlinear equal power (2m +1) th power Y squeezing... The second kind of the three state superposition multimode superposition state light fieldψ (3) 2> q is constructed,that is composed of multimode imaginary coherent state{iZ j}> q,contrary state{iZ j}> q of multimode imaginary coherent state {iZ j> q and multimode vaccum state{0 j}> q.And then the multimode squeezed state theory suggested by YangZhiyong and Hou Xun is utilized to study the properties of generalized nonlinear equal power (2m +1) th power Y squeezing of the stateψ (3) 2> q mentioned above.It is found that under the condition of the squeezing power number N=2m+1(here,m=0,1,2,3,...,...),the first and the second perpendicular phase components of the state {ψ (3) 2> q can all display any odd number power generalized nonlinear equal power N th power Y squeezing respectively,which changes periodically while some certain and fixed conditions are satisfied by the initial phase of each mode in the stateψ (3) 2> q,and while the initial phase difference between any two components of the stateψ (3) 2> q change continuously within their own fixed and closed regions respectively.  构造了由多模虚相干态  {i Zj}〉q、多模虚相干态的相反态  { i Zj}〉q和多模真空态 {0 j}〉q这三种不同的量子光场态的线性叠加所组成的第 类三态叠加多模叠加态光场 ψ( 3)2 〉q.利用多模压缩态理论 ,研究了态  ψ( 3)2 〉q的广义非线性等幂次 2 m+ 1次方 Y压缩特性 .结果发现 :在压缩次数 N =2 m+ 1 ( m=0 ,1 ,2 ,3,… ,… )的条件下 ,只要各模的初始相位和态间的初始相位差分别满足一定的取值条件 ,态 ψ( 3)2 〉q就可呈现出周期性变化的、任意奇数次的广义非线性等幂次 N次方 Y压缩效应   << 更多相关文摘 
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