【摘要】 本文利用新近建立的多模压缩态理论 ,详细研究了一种新型的两态叠加多模薛定谔猫态 (即 MSCS)光场 |ψ( 2 ) 〉q 的广义非线性等阶 N次方 H压缩效应 .结果发现 :1态 |ψ( 2 ) 〉q是一种典型的非经典光场 ;当压缩阶数 N与腔模总数 q这两者之积为偶数 ,即 q N =2 p,并且p为奇数亦即 p=2 m′+ 1 ( m′=0 ,1 ,2 ,3,… ,… )时 ,如果各模的初始相位和 qj =1φj、态间的初始相位差 (θ( I)pq-θ( R)nq )、各多模相干态光场的总的平均光子数 qj =1R2j等满足一定的量子化条件(或者当 qj =1R2j 在总的平均光子数 qj =1R2j 的一系列压缩区内连续取值时 ) ,态 | ψ( 2 )〉q 总可呈现出周期性变化的、任意阶的广义非线性等阶 N次方 H压缩效应 .2态 | ψ( 2 )〉q的第一及第二两个正交分量 ,其压缩结果 (亦即压缩程度和压缩深度 )完全相同 ,但压缩条件不同 ;两者的等阶 N次方 H压缩效应呈现出周期性的互补关系 .3与文献 1 6相比 ,本文所研究的态 | ψ( 2 )〉q的等阶 N次方 H压缩效应是比其等阶 N次方 Y压缩效应更高阶的广义非线性等阶高阶压缩效应 .更多还原

【Abstract】 In this paper,the property of generalized nonlinear equalorder Nth power Hsqueezing effect on a new type of multimode Schro ¨dingerCat state (that is socalled MSCS) light field ｜ψ (2) 〉 q with the superpositions of macroscopically distinct two quantum states ｜｛Z j｝〉 q and ｜｛Z j｝〉 q respectively is further studied in detail,by utilizing the theory of multimode squeezed states established recently by Yang Zhiyong and Hou Xun and published in Acta Photonics Sinica from 1998.4 to 1999.5.It is found that 1) the MSCS ｜ψ (2) 〉 q is a typical nonclassical quantum light field state,if q·N,the products of squeezed order number N and cavity mode number q,is an even number or q·N=2p,but p=2m′+1 (here p is an odd number,and m′=0,1,2,3,…,…),while the quautization conditions are satisfied by the sum qj=1φ j of the initial phases of all mode,by the initial phase difference (θ (I) pq -θ (R) nq ) between the two components of the MSCS ｜ψ (2) 〉 q,and by the whole average photon number qj=1R2 j of each multimode coherent state light field in the MSCS mentioned above (or,when the sum qj=1R2 j changes continuously within a series of squeezed regions of the whole average photon number mentioned above),the MSCS ｜ψ (2) 〉 q can always displays the effects of any order generalized nonlinear equalorder Nth power Hsqueezing,that changes periodically;2)the squeezed consequences (or the squeezed degree and squeezed depth) of both the first perpendicular component and the second perpendicular component of the MSCS ｜ψ (2) 〉 q are the same completely,the effects of the generalized nonlinear equalorder Nth power Hsqueezing of the two perpendicular components mentioned can exchange periodically;and 3) compared with the Reference 16,the squeezed order number of the generalized nonlinear equalorder Nth power Hsqueezing of the MSCS ｜ψ (2) 〉 q in this paper is even higher than the squeezed order number of the generalized nonlinear equalorder Nth power Ysqueezing of the MSCS in Reference 16.更多还原