多模SCS光场中广义电场的不等幂次高次和压缩  

Effect of Generalized Nonlinear Unequal-Power Higher-Power Sum Squeezing of Generalized Electric-Field Component in│Ψ^(3)>_q

作　　者：万慧军[1,2] 杨志勇[3] 胡艳芳[2] 余晓光[1] 张佩瑢[3,4] 胡晓云[2,5] 

机构地区：[1]井冈山师范学院物理系,江西吉安343009 [2]西北大学光子学与光子技术研究所,光电子技术省级重点开放实验室,陕西西安710069 [3]西安电子科技大学技术物理学院,陕西西安710071 [4]西安电子科技大学理学院,陕西西安710071 [5]西北大学物理学系,陕西西安710069

出　　处：《苏州科技学院学报（自然科学版）》2003年第4期21-26,共6页Journal of Suzhou University of Science and Technology （Natural Science Edition）

基　　金：陕西省自然科学基金资助项目2001SL04;陕西省科技攻关项目2002K05-G9;井冈山师范学院重点科研基金资助项目2002ZB02。

摘　　要：根据量子力学中态的线性叠加原理,构造了由多模复共轭虚相干态、多模复共轭虚相干态的相反态和多模复共轭相干态的线性叠加所组成的三态叠加多模振幅-相位混合Schrdinger-Cat(即SCS)光场│Ψ3〉q。利用新近建立的多模压缩态理论,对SCS光场│Ψ3〉q中广义电场分量的不等幂次高次和压缩特性进行了详细研究。结果发现:在各模的压缩次数之和取偶数的条件下,当各模的压缩次数与对应模的初始相位之积的和、态间的初始相位差、以及各多模相干态光场的平均光子数等分别满足一定的取值条件时,此三态叠加多模SCS光场│Ψ3〉q的广义电场分量总可呈现出周期性变化的任意Nj次的广义非线性不等幂次高次和压缩效应。According to the linear superposition principle of state in quantum mechanics,the three state superposi-tion multimode Schr dinger-Cat State light-field,namely,multimode SCS light-field) │ Ψ ,3) > q is constructed,which is composed of multimode complex conjugation imaginary coherent state,the contrary state of multimode complex conjugation imaginary coherent state,and multimode complex conjugation coherent state.The multimode squeezed state theory established recently by pro fessor Yang Zhiyong and academician Hou Xun is utilized to study the char-acteristics of generalized nonlinear unequal-power higher-power sum squeezing of the generalized electric-field com-ponent in the multimode SCS light-field │ Ψ ,3) > q mentioned above in detail.The results show that under the condi-tion of the sum of squeezing-power-number for every mode being an even number,while some other fixed conditions are respectively satisfied by the sum of the products between the squeezing-power-number of each mode and the ini-tial phase which is in accordance with each mode above,by the interstate initial phase difference,and by the mean photon-number of each multimode coherent state light-field,the generalized electric-field component of the multi-mode SCS light-field │ Ψ ,3) > q can always display the effects of any N j -th power generalized nonlinear unequal-power higher-power sum squeezing that change periodically and alternatively.

关 键 词：三态叠加 多模SCS光场 广义电场分量 不等幂次高次 多模压缩态 量子光学 振幅-相位混合薛定谔猫态光场 

分 类 号：O431.2[机械工程—光学工程]