一种新型的多模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 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 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 )态 | Ψ( 2 )i,e〉q是一种典型的多模非经典光场 ,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这两者的乘积 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的等阶 N次方 Y压缩与等阶 N次方 H压缩效应这两者的压缩程度和压缩深度分别与几率幅 γ( e)q 、压缩参数 Rj、各模的初始相位 φj(或者各模的初始相位和 qj =1φj)、压缩阶数 N以及腔模 (指纵模 )总数 q等呈较强的非线性关联 ,等阶 N次方 H压缩效应与上述诸参量之间的非线性关联程度要比等阶 N次方 Y压缩效应的更强 .3 )多模虚偶相干态光场 |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这后两者的等阶 N次方 Y压缩效应和等阶 N次方 H压缩效应的压缩条件和压缩特性正好相反 ,这种现象就称为相反压缩 .

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 imaginary even coherent state light field ｜Ψ (2) i,e 〉 q are studied in detail,by utilizing the theory of multimode squeezed state constructed by Yang Zhiyong and Hon Xun and published in Acta Photonica Sinica recently.It is found that 1).if the squeezed order number N is an odd number,the state ｜Ψ (2) i,e 〉 q mentioned above can always present any order generalized nonlinear equal order N th power Y squeezing which changes periodically under some certain conditions;and if q·N,the products of the cavity mode number q and the squeezed order number N,is an odd number,the state ｜Ψ (2) i,e 〉 q mentioned can also display any order generalized nonlinear equal order N th power H squeezing which changes periodically too.2)the squeezed degree and the squeezed depth of both the generalized nonlinear equal order N th power Y squeezing and the generalized nonlinear equal order N th power H squeezing of the state ｜Ψ (2) i,e 〉 q are all related intensively and nonlinearly to the probability amplitude r (e) q,to the squeezing parameter R j,to the initial phase φ j of each mode for equal order N th power Y squeezing,to the sum qj=1φ j of the initial phase φ j of all the modes for equal order N th power H squeezing,to the squeezed order number N,and to the cavity mode number q,and so on.The related nonlinear degree of equal order N th power H squeezing is more intensive than that of equal order N th power Y squeezing.and 3),the squeezing conditions and the squeezing features of both equal order N th power Y squeezing and equal order N th power H squeezing of the multimode imaginary even coherent state ｜Ψ (2) i,e 〉 q are just contrary to that of the multimode even coherent state ｜Ψ ,e 〉 q and the multimode complex conjugation even coherent state ｜Ψ (2) ,e 〉 q,this phenomenon is so called contrary squeezing