一种双模叠加态光场的两种非线性高阶压缩效应

TWO KINDS OF NONLINEAR HIGHER-ORDER SQUEEZING EFFECTS IN A NEW TYPE OF TWO-MODE LIGHT FIELD OF SUPERPOSITION STATE

本文在发展现有理论的基础上提出了双模及多模辐射场的两种非线性高阶压缩（即N次方Y压缩和N次方H压缩）的定义，根据量子力学中的线性叠加原理构造了一美双模叠加志光场|ψ＞，对|ψ＞的N次方Y压缩及N次方H压缩效应进行了详细研究．结果表明：双模叠加态光场|ψ＞是一种典型的非经典光场，它可具有任意阶的N次方Y压缩及N次方H压缩效应；并且，在一定的条件下，这两种非线性高阶压缩效应均可呈现出周期性变化的特性．文献7的单模辐射场振幅N次方压缩的定义，仅仅是本文所提出的N次方Y压缩和N次方H压缩这两种非线性高阶压缩的一般定义在k=1条件下的特例．

In this paper, the nonllnear higher' order squeezing theory of two - mode and multi - mode radiative ligh fields, based upon the developlng of current squeezing theories,is established by Yang Zhiyong and Hou Xun firstly. So the two kinds of nonlinear higher-order squeezing, both Nth-power Y-squeezing and Nth-power H-squeezing,of two-mode and multi-mode radiative light fields are also defined in new theory. And then a new type of two-mode light field of superposition state |ψ> thatlinear superposition principle in quantum mechanlcs is satisfied, is constructed. According to thedefinition mentioned above,the two kinds of nonlinear higher-order squeezing effects of the state |ψ>are therefore studied in detail. lt is found that |ψ＞ is a new type of nonclassical light field in whichthere exists eigher any order Nth power Y-squeezing or any order Nth-power H-squeezing. And under some certain conditlons. this two kinds of nonlinear higher - order squeezing effects present the properties of periodic and alternating changes between the naximum squeezing and the minimumsqueezing. The definition of Nh power squeezing of single - mode radiative light field amplitude proposed in reference 7 is only the specific example of this paper under the condition of k= 1.