第Ⅰ种非对称两态叠加多模叠加态光场等阶N次方H压缩——1.腔模总数与压缩阶数两者之积取偶的情形

本文利用多模压缩态理论研究了第Ⅰ种非对称两态叠加多模叠加态光场|Ψ_Ⅰ^(ab)>_q的广义非线性等阶N次方H压缩特性.结果发现:在腔模总数q与压缩阶数N这两者之积qN为偶数亦即qN=2p的条件下,无论p=2m(m=1,2,3,…,…)还是p=2m+1(m=0,1,2,…,…),当两非对称态中各模的初始相位和 =φ_j^(a)、 =φ_j^(b)、态间的初始相位差(θ_pq^bI-θ_nq^aR),以及各单模相干态光场的光子干涉项之和 =R_j^(a)R_j^(b)]cos(φ_j^(a)-φ_j^(b))]等满足一定条件时,态|Ψ_Ⅰ^(ab)>_q可分别呈现出周期性变化的奇数模-偶数阶、偶数模-奇数阶和偶数模-偶数阶的等阶N次方H压缩效应.

THE PROPERTIES OF EQUAL-ORDER N-TH POWER H-SQUEEZING IN THE FIRST KIND OF ASYMMETRICAL MULTIMODE SUPERPOSITION STATE LIGHT FIELD WITH THE SUPERPOSITION OF MACROSCOPICALLY DISTINCT TWO QUANTUM STATES-WHILE THE PRODUCTS OF SQUEEZED ORDER NUMBER N AND CAVITY

In the paper,the properties of equal-order N-th power H-squeezing in the first kind of asymmetrical multimode superposition state light|Ψ_I^(ab)>_qwith the superposition of macroscopically distinct two quantum states is studied in detail,by utilizingthe theory of multimode squeezed states.It is found that if the products of squeezed order number N and cavity mode number q is an even number or qN=2P,and if some certain conditions are satisfied respectively by the sum =φ_j^(a), =φ_j^(b),of the initial phases of all mode,by the initial phase difference (θ_pq^bI-θ_nq^aR)between the two components of the state|Ψ_I^(ab)>_q,and by the photon intervene term sum =R_j^(a)R_j^(b)]cos(φ_j^(a)-φ_j^(b))] of each-mode coherent state light field,the state |Ψ_I^(ab)>_qcan display the effects of odd-number-mode-even-number-order,even-number-mode-odd-number-order,even-number-mode-even-number-order equal-order N-th power H-squeezing no matter what P=2m or P=2m+1,that changes periodcally.This result is different from the result reported in current references.