多模复共轭虚偶相干态光场的等阶N次方Y压缩与等阶N次方H压缩

THE PROPERTIESOF BOTH GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y- SQUEEZING AND GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER H-SQUEEZING IN A NEW TYPE OF MULTIMODE COMPLEX CONJUGATION IMAGINARY-EVEN COHERENT STATE LIGHT FIELD

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多模复共轭虚偶相干态光场 | Ψ*( 2 )i,e 〉q的广义非线性等阶 N次方 Y压缩与等阶 N次方 H压缩特性 .结果发现 :1 )当压缩阶数 N为奇数时 ,态 Ψ*( 2 )i,e 〉q在一定条件下总可呈现出周期性变化的、任意阶的等阶N次方 Y压缩效应 ;当腔模总数 q与压缩阶数 N两者之乘积 q·N为奇数时 ,则在一定条件下态 |Ψ*( 2 )i,e 〉q又可呈现出周期性变化的、任意阶的等阶 N次方 H压缩效应 .2 )态 |Ψ*( 2 )i,e 〉q与多模偶相干态光场 | Ψ,e〉q及多模复共轭偶相干态光场 | Ψ( 2 )*,e〉q这两者的等阶 N次方 Y压缩效应和等阶 N次方 H压缩效应的压缩幅度相等但压缩条件和压缩特征正好相反 ;态|Ψ*( 2 )i,e 〉q与多模虚偶相干态光场 |Ψ( 2 )i,e〉q 的压缩幅度、压缩条件和压缩特征等完全相同 .这一结果再次从理论上证实了多模压缩光中的确存在着“相反压缩”和“压缩简并”这两类新的物理现象 .

In this paper,the properties of both generalized nonlinear equal-order N-th power Y- squeezing and generalized nonlinear equal-order N-th power H-squeezing in a new type of multimode complex conjugation imaginary-even coherentstate lightfield| Ψ*( 2 )i,e 〉qare sudied in detail,by utilizing the theory of multimode squeezed state constructed by Yang Zhiyong and Hou Xun and published in Acta Photonica Sinica recently.Itis found that1 ) .If the squeezed order number N is an odd number, the state| Ψ*( 2 )i,e 〉qmentioned above can always presentany ordergeneralized nonlinearequal-order N- th power Y-squeezing that changes periodically under some certain conditions;and if q· N,the products of cavity-mode number q and the squeezed order number N,is an odd number,the state | Ψ*( 2 )i,e 〉qmentioned can also display any ordergeneralized nonlinearequal-order N-th power H-squeez- ing thatchanges periodically too.2 ) The squeezing conditions and the squeezing featuresof both equal- order N-th power Y-squeezing and equal-order N-th power H-squeezing of the multimode complex conjugation imaginary-even coherent state| Ψ*( 2 )i,e 〉q are just contrary to that of the multimode even -coherentstate|Ψe〉q,and to thatof the multimode complex -conjugation even -coherentstate | Ψ*( 2 ),e 〉q,butjustthe same as thatof the multimode imaginary-even coherentstate| Ψ( 2 )i,e〉q.So the two kinds of new physical phenomena,the so-called“contrary squeezing”and“degenerat squeezing”,are further improved by the results mentioned above in this paper.