高Q Kerr介质腔中非关联双模相干态光场与V型三能级原子相互作用系统中光场的等阶Y压缩效应

本文利用多模压缩态理论,详细研究了高Q Kerr介质腔中非关联双模相干态光场与V型三能级原子相互作用系统中双模光场的一次和二次等阶Y压缩效应,结果表明:1)等阶Y压缩特性强烈地依赖于Kerr介质的三阶非线性极化系数(x)和双模光场中各模的平均光子数n¹、n²;当x<1,n¹=n²<1时,不产生等阶Y压缩效应;而当x=2.5、5、10以及n¹=n²=2、5时,光场可呈现出强烈的一次及二次等阶Y压缩效应;2)在x以及n¹、n²相同的条件下,不同压缩阶次的等阶Y压缩效应的时间演化曲线的压缩周期与压缩阶次成反比,压缩度的幅度则随压缩阶数的升高而迅速下降;3)在平均光子不变(即n¹=n²恒定),但Kerr介质不同(即x变化)的条件下,相同压缩阶数的等阶Y压缩效应的Y压缩度曲线的时间演化周期与Kerr介质的三阶非线性化系数x成反比,压缩度的幅度则随Kerr介质的三阶非线性极化系数x的增大而增强;4)等阶Y压缩效应的持续时间以及等阶Y压缩度的大小等强烈地依赖于Kerr介质的非线性程度和光场强度;一般而言,Kerr介质的非线性程度越高(即x越大),并且光场越强(即n¹=n²取值越大),等阶Y压缩效应持续时间就越短,等阶Y压缩度就越大.

EQUAL-ORDER Y-SQUEEZING EFFECTS OF THE FIELD IN THE SYSTEM OF TWO-MODE NONCORRELATED COHERENT STATE LIGHT FIELD INTERACTED WITH THE V-TYPE THREE-LEVEL ATOM IN THE HIGHER-Q Kerr MEDIUM CAVITY

In this paper，by using the theory of multi-mode squeezed states estblished recently by Yang Zhiyong and Hou Xun in references 10～13，we had studied in detail 1-th power and 2-th power equal-order Y-squeezing effects of the field in the system of two-mode noncorrelated coherent state light field interacted with the V-type three-level atom in the higher-Q Kerr medium cavity.The result indicates that:1)Equal-order Y-squeezing effects depend intensely on the Kerr nonlinear coefficients (x) and the average number of photons n－1 and n－2，when x＜1，n－1＝n－2＜1，there is no Y-squeezing occured，when x＝2.5，5，10 and n－1＝n－2＝2，5，the two-mode light field show intensive 1-th power and 2-th power equal-order Y-squeezing effects.2)When the Kerr medium and the strength of light field keep constantly，the period of the time evolution curves of the different power equal-order Y-squeezing degee is inversely proportional to the order number (N) and the amplitude of equal-order Y-squeezing degree decreases rapidly with the increasing of the order number (N).3)When the average number of photons keep constantly and the Kerr medium change，the period of the time evolution curves of the same power equal-order Y-squeezing degree is inversely proportionl to the Kerr nonlinear coefficients (x) and the amplitude of equal-order Y-squeezing degree increases with the increasing of the Kerr nonlinear coefficients (x).4)The duration of the equal-order Y-squeezing effects and the amplitude of the equal-order Y-squeezing degree depend intensely on the Kerr nonlinear coefficients (x) and the strength of the light field.Generally speaking，when the strength of the Kerr medium and the light field get stronger，the duration of time becomes shorter and the squeezed degee grows larger.