N维希尔伯特空间三态叠加多模纠缠态光场的差压缩特性  

The multimode entangled state light field via superpositions of three states in N-dimensional Hilbert space and their difference squeezing properties

作　　者：孙中禹[1,3] 杨志勇[2] 陈光德[3] 

机构地区：[1]空军工程大学电讯工程学院 [2]西安电子科技大学技术物理学院 [3]西安交通大学电子与信息工程学院/理学院

出　　处：《激光杂志》2006年第1期32-33,共2页Laser Journal

基　　金：陕西省自然科学基金(2001SL04);陕西省科技攻关计划(2002K05-G9)资助项目

摘　　要：根据量子力学中态的叠加原理,构造了N维希尔伯特空间多模复共轭相干态|{iZj*}>2q,多摸复共轭虚相干态|{iZj*}>2q,及多模真空态|{Oi}>2q三态叠加而成的多模纠缠态光场|Ψ(3)>2q。研究了态|Ψ(3)>2q的任意次广义非线性等幂次N次方差压缩特性。结果表明,N维希尔伯特空间中不存在态|Ψ(3)>2q的等幂次N次方差压缩,态|Ψ(3)>2q处于N-X最小测不准态的纠缠相干态。进而指出,只有压缩次数小于空间维数时,态|Ψ(3)>2q有可能呈现差压缩效应。According to the linear superposition principle of quantum mechanics, it is constructed that the multimode entangled state hitht field ｜ψ^（3）〉2q is composed of the linear superposition of multimode complex conjugation coherent state ｜{Zj^＊}〉2q, multimode complex conjugation imaginary coherent state ｜{iZj^＊}〉2q and multimode vaccum state ｜{Oj}〉2q in a finite-dimensional （N） Hilbert space, and their difference squeezing properties of generalized nonlinear equal power N-th power is studied. The results indicate that the equal-power N-th power difference squeezing of state ｜ψ^（3）〉2q is not existed in a finite dimensional Hilbert space, and the state ｜ψ^（3）〉2q is a N-minimum uncertainty entangled coherent state. If the difference squeezing power number is less than the dimension number of funite dimensional Hilbert space, the state ｜ψ^（3）〉2q can display the difference squeezing effects.

关 键 词：N维希尔伯特空间 多模纠缠态 N-X最小测不准态 三态叠加 N次方差压缩 

分 类 号：O431.2[机械工程—光学工程]