两多模泛函相干态叠加态的高次和压缩——广义磁场分量的不等幂次高次和压缩效应  

Effects of generalized nonlinear unequal-power higher-power sum-squeezing of superposition state light-field composed of the two different multimode functional coherent states-unequal higher power sum-squeezing of generalized magnetic-field component

作　　者：魏世秀[1] 杨志勇[2] 侯洵[1] 刘宝盈[3] 赖振讲[3] 

机构地区：[1]西安交通大学电子与信息工程学院,陕西西安710049 [2]西安电子科技大学技术物理学院,陕西西安710071 [3]西北大学光子学与光子技术研究所,陕西西安710069

出　　处：《量子电子学报》2005年第1期70-74,共5页Chinese Journal of Quantum Electronics

基　　金：陕西省自然科学基金项目(2001SL04)陕西省科技攻关项目(2002K05-G9)

摘　　要：利用多模压缩态理论,研究了多模泛函相干态|{fj(x,y,z)}>q及其相反态|{-fj(x,y,z)}>q的线性叠加所组成的两态叠加多模叠加态光场|ψ(f)(2)>q的广义磁场分量的不等幂次高次和压缩特性。结果发现: 1)当各模的压缩次数:Nj(j=1,2,…,…,q下同)之和为偶数时,态|ψ(f)(2)>q恒处于不等幂次Nj-H最小测不准态;2)当各模的压缩次数Nj之和为奇数时,态|ψ(f)(2)>q在一定条件下可呈现出周期性变化的、任意不等幂次的广义非线性高次和压缩效应。In this paper, the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power higher-power sum-squeezing of generalized magnetic-field component in the state |ψ(f)(2)>q made up of the linear superposition of multimode functional coherent state |{fj(x,y,z)}>q and its contrary state |{-fj(x,y,z)}>q according to the superposition principle of quantum state in quantum mechanics. It is found that: 1) under the condition of the sum of squeezing-power-number being an any even-number, thestate |ψ(f)(2)>q can always stay in the generalized nonlinear unequal-power Nj-H minimum uncertainty state;and 2) under the condition of the sum of squeezing-power-number being an anyodd-number, while some other fixed conditions are satisfied by the state |ψ(f)(2)>q the state mentioned can display the effects of generalized nonlinear unequal-power Nj-th power H-squeezing that changes periodically and alternatively.

关 键 词：量子光学 多模泛函相干态 两态叠加 多模压缩态 广义磁场分量 不等幂次高次和压缩 

分 类 号：O431.2[机械工程—光学工程]