摘要
利用多模辐射场的不等阶压缩的一般理论 ,详细研究了非对称多模薛定谔猫态 (MSCS)光场 |Ψ( ab) 〉q =C( a I)pq |{i Z( a) *j }〉q+C( b I)nq |{-i Z( b) *j }〉q的广义非线性不等阶高阶振幅压缩特性 ,即广义非线性不等阶 Nj次方 Y压缩特性 ,结果发现 :态 |Ψ ( ab)〉q是一种典型的非经典多模光场 ,在任意多模 (q模 )光场中 ,无论部分模的压缩阶数为偶数阶 ,部分为奇数阶 ,还是 q模均为偶数阶 ,或均为奇数阶的情况下 ,只要各模初始相位φ( a)j 与φ( b)j (j=1 ,2 ,3 ,… ,q)、平均光子数 R( a)j 与 R( b)j 、态间初始相位差θ( a I)p q -θ( b I)nq 等分别满足各自条件 ,态 |Ψ( ab) 〉q总会呈现周期性变化的任意不等阶 Nj次方 Y压缩效应和
By applying the unequalled-order squeezing general theory of multi-mode radioactive light field,the property of generalized nonlinear unequalled-order higher-order amplitude squeezing,that is generalized nonlinear unequalled-order Nj-th power Y-squeezing,in the unsymmetrical Multi-mode Schrodinger Cat State (MSCS) light field |Ψ ( ab)〉q =C( a I)pq |{i Z( a) *j }〉q +C( b I)nq |{-i Z( b) *j }〉qis studied in detail.It is found that the state|Ψ ( ab)〉qmentioned above is a kind of typical non-classical multi-mode lightfiled.Whether some modes of the q modes are even order and the others are odd order,or all of the q modesare even order,orallof theq modes are odd order,if some certain quantization conditions are satisfied respectively by the initial phaseφ( a)j 与 φ( b)j (here j=1 ,2 ,3 ,… q) of each mode,and by average photon number R( a)j and R( b)j of each mode,and by the initial phase differenceθ( a I)pq -θ( b I)nq between the two components |{i Z( a) *j }〉q and |{-i Z( b) *j }〉q,the state |Ψ( ab) 〉qbcan present any unequalled-order Nj-th power Y-squeezing effect that changes periodically and unequalled Nj-th minimum uncertainty state.
出处
《渭南师范学院学报》
2002年第2期3-12,共10页
Journal of Weinan Normal University
基金
陕西省教委专项科研基金资助项目 (99JK0 91 )
渭南师范学院重点科研基金资助项目 (0 1 YKF0 0 1 )
