【摘要】 本文根据量子力学中的线性叠加原理 ,构造了由多模 (即 q模 )相干态的相反态 | {-Zj}〉q及多模虚相干态的相反态 | {-iZj}〉q 这两者的线性叠加所组成的一种新型的两态叠加多模叠加态光场 | ψ(2 )msc〉q 利用新近建立的多模压缩态理论 ,详细研究了态 | ψ(2 )msc〉q 的广义非线性等阶N次方H压缩特性 结果发现 :1 )当压缩阶数N与腔模总数q这两者之积为偶数 ,亦即当q·N =2 p且p =2m (m =1 ,2 ,3,… ,… )时 ,态 | ψ(2 )msc〉q恒处于等阶N H最小测不准态 ;2 )当q·N =2 p且 p =2m′+ 1 (m′ =0 ,1 ,2 ,3,… ,… )时 ,如果各模的初始相位之和 qj=1φj、态间的初始相位差 (θ(I)nq-θ(R)nq)、各多模相干态光场的总的平均光子数 qj=1R2 j以及 [(θ(I)nq -θ(R)nq) + qj=1R2 j]等满足一定的量子化条件时 ,态 | ψ(2 )msc〉q 总可呈现出周期性变化的、任意阶的等阶N次方H压缩效应 ;3)当压缩阶数N与腔模总数 q这两者之积为奇数时 ,亦即当 q·N =2 p + 1时 ,无论 p =2m(m =0 ,1 ,2 ,3,… ,… )还是 p =2m′ + 1 (m′ =0 ,1 ,2 ,3,… ,… ) ,只要各模初始相位之和 qj =1φj满足一定的量子化条件 ,则当两态叠加几率幅满足r(R)nq =r(I)nq 时 ,态 | ψ(2 )msc〉q 就恒处于N H测不准态更多还原

【Abstract】 According to the linear superposition principle in quantum mechanics in this paper,it is constructed a new type of multi mode superposition light field state ｜ψ (2) msc 〉 q,which is made of the linear superposition of macroscopically distinct two quantum states named the contrary state ｜｛-Z j｝〉 q of multi mode (q mode) coherent state ｜｛Z j｝〉 q and the contrary state ｜｛-iZ j｝〉 q of multi mode imaginary coherent state ｜｛iZ j｝〉 q repectively.By using the theory of multi mode squeezed states established recently by Yang Zhiyong and Hou Xun,which was published in Acta Photonica Sinica from April 1998 to May 1999,the property of generalied nonlinear equal order N th power H squeezing of the state ｜ψ (2) msc 〉 q mentioned above is studied in detail.It is found that:1)if q·N=2p and p=2m(m=1,2,3,…,…),the state ｜ψ (2) msc 〉 q is always stayed in the N H minimum uncertainty state;2)If q·N=2p and p=2m′+1(m′=0,1,2,3,…,…) when some certain quantization conditions are satisfied by the sum of initial phase of each mode qj=1φ j(j=1,2,3,…,q),by the initial phase difference (θ (I) nq -θ (R) nq ) between the two components in the state ｜ψ (2) msc 〉 q,by qj=1R 2 j the average photon numbers of all the single mode coherent state light field and by [(θ (I) nq -θ (R) nq )+qj=1R 2 j],the state ｜ψ (2) msc 〉 q can presents any order N th power H squeezing effect which changes periodically;3)if q·N=2p+1,whether p=2m(m=0,1,2,3,…,…) or p=2m′+1(m′=0,1,2,3,…,…),when the sum of initial phase of each mode satisfy some certain quantization conditions,and while the probability amplitudes satisfy r (I) nq =r (R) nq , the state ｜ψ (2) msc 〉 q is only stayed in the N H uncertainty state.更多还原