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

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

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 n- 1、n- 2 ;当 x<1 ,n- 1=n- 2 <1时 ,不产生等阶 Y压缩效应 ;而当 x=2 .5、5、1 0以及n- 1=n- 2 =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 n- 1、n- 2 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 n- 1=n- 2 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 n- 1=n- 2 取值越大 ) ,等阶 Y压缩效应持续时间就越短 ,等阶

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[DD(-3/4]- 1 and n[DD(-3/4]- 2,when x<1,n[DD(-3/4]- 1=n[DD(-3/4]- 2<1,there is no Y squeezing occured,when x=2.5,5,10 and n[DD(-3/4]- 1=n[DD(-3/4]- 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.