摘要
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.
出处
《光子学报》
EI
CAS
CSCD
2000年第3期193-202,共10页
Acta Photonica Sinica
基金
陕西省自然科学基金
陕西省教委专项科研基金
西北大学科学基金资助项目
关键词
两态叠加
多模叠加态光场
等阶N次方Y压缩
Contrary state of multi mode imaginary coherent state
Superpositions of macroscopically distinct two quantum states
Multi mode light field state of superposition state
Equal order N th power Y squeezing
Equal order N Y uncertainty state