两模光场与原子相互作用中光场周期性和频效应-理想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不等阶和压缩效应

利用多模压缩态理论,通过数值计算研究了高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不等幂次高次和压缩效应,分别绘出了两模光场第一模i次方第二模j次方不等幂次和压缩度的第一正交分量(Sh1_ij),第二正交分量(Sh2_ij)的时间演化曲线.结果表明:1)Kerr介质的存在和嵌放在介质中的V型三能级原子是产生双模光场不等阶和压缩效应的物质条件,二者缺一不可.2)腔中光场和原子发生光子交换是导致双模光场不等幂次和压缩效应的微观机制.3)在不考虑坐标度的情况下,不同条件下的时间演化曲线呈现非常相似的"崩坍-复原-凹谷"式结构,且复原区的波型振荡次数及凹谷区的振荡下降和振荡上升型式一样.4)在χ以及,不变的条件下,不等幂次高次和压缩度时间演化曲线的崩坍-复原-凹谷式结构的持续时间随压缩阶次的升高而缩短,压缩度随压缩阶数的升高而迅速下降.5)在平均光子不变(即,恒定),但Kerr介质不同(即χ变化)的条件下,不等幂次高次和压缩度曲线的周期随Kerr介质的三阶非线性极化系数χ的增加而缩短,幅度则不受Kerr介质的三阶非线性极化系数变化的影响.6)不等幂次高次和压缩效应的持续时间等强烈地依赖于Kerr介质的非线性程度,χ越大不等阶和压缩效应持续时间就越短.在相同压缩幂次的情况下,不等幂次高次和压缩度演化曲线正向幅度随平均光子数的增大而增大.

PERIODIC SUM-FREQUENCY GENERATION VIA TWO-MODE FIELD INTERACTING WITH V-TYPE THREE-LEVEL ATOM IN THE HIGHER-Q KERR MEDIUM GAVITY

By using the theory of multi mode squeezed states established recently by Yang Zhiyong and Hou Xun in references it is studied in detail unequal-order periodic sum-frequency effects of the field in the system of two-mode non-correlated coherent state light field interacted with the V-type three-level atom in the higher-Q Kerr medium cavity.The result indicates that: 1)It is the essential condition that there are Kerr medium and V-type three-level atom embedded in the Kerr medium. 2) Interchanging photons between atom and light fields is the micro-mechanism which results in Unequal order sum-squeezing effects. 3) the squeezing degree depend intensely on the Kerr nonlinear coefficients (χ). When the nonlinear coefficients (χ) of the Kerr medium and the strength of light field keep constantly, the period of the time evolution curves of the different power unequal-order sum-squeezing degree is inversely proportional to the order number (i,j) and the amplitude of unequal-order sum-squeezing degree decreases rapidly with the increasing of the order number (i,j).4) If to do not consider the scale of the coordinate axis, the structures of the time evolution curves for any power unequal-order sum-squeezing degree and in any condition are very similar and shown a periodic "collapse revival valley" model. 5) When the average number of photons keep constantly and the Kerr nonlinear coefficients (χ) change, the collapse duration of the curves of the unequal-order sum-squeezing degree get shorter with the increasing the Kerr nonlinear coefficients (χ) and the rate of change of the curves in during the revival increase with the increasing of the Kerr nonlinear coefficients (χ). 6) The amplitude of the unequal-order sum-squeezing degree, which is larger than zero, increases with the increasing of the strength of the light field. The amplitude that is less than zero decreases with the increasing of the strength of the light field.