一种新型的两态叠加多模叠加态光场的广义非线性等阶N次方Y压缩

THE PROPERTY OF GENERALIZED NONLINEAR EQUAL ORDER N-TH POWER Y-SQUEEZING IN A NEW TYPE OF MULTI-MODE LIGHT FIELD STATE OF SUPERPOSITION STATE WITH MACROSCOPICALLY DISTINCT TWO QUANTUM STATES

本文根据量子力学中的线性叠加原理 ,构造了由多模 (即 q模 )相干态的相反态 | {- Zj}〉q及多模虚相干态的相反态 | {- i Zj}〉q这两者的线性叠加所组成的一种新型的两态叠加多模叠加态光场 | ψ( 2 )msc〉q.利用新近建立的多模辐射场的广义非线性等阶高阶压缩理论 ,研究了态| ψ( 2 )msc〉q的广义非线性等阶 N次方 Y压缩特性 .结果发现 ,1 )当压缩阶数 N=2 P且 P=2 m( m=1 ,2 ,3,… ,… )时 ,态 |ψ( 2 )msc〉q恒处于 N - Y最小测不准态 ;2 )当 N =2 P且 P=2 m′+ 1 ( m′=0 ,1 ,2 ,… ,… )时 ,如果各模的初始相位φj、态间的初始相位差与各单模相干态光场的平均光子数之和 qj =1R2j即 [( θ( R)nq - θ( I)nq) - qj =1R2j]满足一定的量子化条件 ,态 | ψ( 2 )msc〉q 可呈现周期性变化的、任意阶的等阶 N次方 Y压缩效应 ;3)当 N为奇数时 ,态 | ψ( 2 )msc〉q在一定条件下恒处于 N-Y测不准态 ;4)态 |ψ( 2 )msc〉q与文献 2 1中的态 |ψ( 2 ) 〉q出现部分压缩简并现象 。

In this paper,the property of a new type of multi mode light field state ｜ψ (2) msc 〉 q,which is composed of superposition state with macroscopically distinct two quantum states named the contrary state ｜｛-Z j｝〉 q of multi mode (or q mode) coherent state ｜｛Z j｝〉 q and the contrary state ｜｛-iZ j｝〉 q of multi mode imaginary coherent state ｜｛iZ j｝〉 q respectively,is studied in detail by using the theory of multi mode squeezed states established recently.It is found that:1)if the squeezed order N=2p and p=2m(m=1,2,3,…,…),the state ｜ψ (2) msc 〉 q is always stayed in the equal order N Y minimum uncer tainty state;2)if the squeezed order N=2p and p=2m+1(m=0,1,2,…,…),while the quantization conditions are satisfied by the initial phase φ j of each mode,by the initial phase difference between the two components in the state ｜ψ (2) msc 〉 q and the sum qj=1R 2 j of average photon mumbers of all the single mode coherent state light field ｜Z j〉,also by [(θ (R) nq -θ (I) nq )-qj=1R 2 j],the state ｜ψ (2) msc 〉 q can presents any order equal order N th power Y squeezing effect which changes periodically;3)if the squeezed order N is odd number,the state ｜ψ (2) msc 〉 q,under some certain conditions,is only stayed in the N Y uncertainty state;4)partial squeezing degenerate phenomenon is found between the state ｜ψ (2) msc 〉 q and the state ｜ψ (2) 〉 q in References 21,which further show some objective coherent relation is the source of the phenomenon of squeezing degenerate.