4个多模泛函相干态叠加态的等幂偶次Y压缩

Effect of Equal-power Even-number-power Y-squeezing of Multimode Superposition State Light-Field Made up of Four Different Multimode Functional Coherent States

构造了由多模泛函相干态|{fj(xj,yj,zj)}〉q、多模泛函相干态的相反态|{-fj(xj,yj,zj)}〉q、多模复共轭泛函相干态|{f j(xj,yj,zj)}〉q四态线性叠j(xj,yj,zj)}〉q和多模复共轭泛函相干态的相反态|{-f 加组成的四态叠加多模泛函叠加态光场|Ψ(4)(fj)〉q。利用多模压缩态理论,研究了态|Ψ(4)(fj)〉q的广义非线性等幂偶次Y压缩特性。结果表明:在一定条件下,态|Ψ(4)(fj)〉q可呈现出任意偶数次的广义非线性等幂次2p(p=1,2,…)次方Y压缩效应;光场经典强度的空间分布函数|fj(xj,yj,zj)|2(j=1,2,…,q),对态|Ψ(4)(fj)〉q的等幂偶次Y压缩效应的压缩程度、压缩深度和压缩幅度等产生直接影响。

It is constructed that the four-states superposition multimode functional superposition state light-field｜Ψ(4)(f_j)〉_q composed of the multimode functional coherent state｜｛f_j(x_j,y_j,z_j)｝〉_q,the contrary state｜｛-f_j(x_j,y_j,z_j)｝〉_q of the multimode functional coherent state motioned above,the multimode complex conjugate functional coherent state｜｛f_j(x_j,y_j,z_j)｝〉_q,and the contrary state ｜｛-f_j(x_j,y_j,z_j)｝〉_q of the multimode complex conjugate functional coherent state according to the superposition principle of quantum state in quantum mechanics.The characteristics of generalized nonlinear equal-power even-number-power Y-squeezing of the state ｜Ψ(4)(f_j)〉_q is studied first ly in detail by utilizing the multimode squeezed state theory established by YANG Zhi-yong and HOU Xun in recent years.It is shown that under some certain and fixed conditions,the state ｜Ψ(4)(f_j)〉_qcan present the effect of any even-number-power generalized nonlinear equal-power 2p-th-power Y-squeezing(here,p=1,2,…): And the spatial distribution function ｜f_j(x_j,y_j,z_j)｜2 (here,j=1,2,…,q;and q stand for the sum-number of the cavity-modes) of the classical intensity of the light-field has a direct influence upon the squeezed degree,the squeezed depth,and the squeezed amplitude of generalized nonlinear equal-power 2 p-th-power Y-squeezing of the state ｜Ψ(4)(f_j)〉_q.