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

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|{-Z_j}〉_q及多模虚相干态的相反态|{-iZ_j}〉_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_msc⁽²⁾〉_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_msc⁽²⁾〉_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=2P且P=2m(m=1,2,3,…,…)时,态|ψ_msc⁽²⁾〉_q恒处于N-Y最小测不准态;2)当N=2P且P=2m’+1(m’=0,1,2,…,…)时,如果各模的初始相位φ_j、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∑_j=1^qR_j²即(θ_pq^(R)-θ_nq^(I))-∑_j=1^qR_j²]满足一定的量子化条件,态|ψ_msc⁽²⁾〉_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_msc⁽²⁾〉_q在一定条件下恒处于N-Y测不准态;4)态|ψ_msc⁽²⁾〉_q与文献21中的态|ψ⁽²⁾〉_q出现部分压缩简并现象,从而更进一步表明压缩简并现象的存在是有某种客观内在联系的.

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

In this paper,the property of a new type of multi-mode light field state |ψ_msc⁽²⁾〉_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_msc⁽²⁾〉_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_msc⁽²⁾〉_q and the sum ∑_j=1^qR_j² of average photon mumbers of all the single mode coherent state light field |Z_j〉,also by (θ_pq^(R)-θ_nq^(I))=∑_j=1^qR_j²],the state |ψ_msc⁽²⁾〉_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_msc⁽²⁾〉_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_msc⁽²⁾〉_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.