【摘要】 构造了由多模复共轭相干态z(a) j 〉q 和多模虚共轭相干态iz(b) j 〉q 的相反态 -iz(b) j 〉q 所组成的非对称两态叠加多模量子叠加态Ψ〉q。利用多模压缩态理论 ,研究了该态的等阶偶数阶Y压缩效应 ,结果表明 :压缩阶数N为偶数 ,即N =2p(p =1,2 ,3,…… ) ,并且各个模的初始相位 φj 以及由态z(a) j 〉q 和态-iz(b) j 〉q的初始相位差θ(R)pq -θ(I)nq 与态z(a) j 〉q 和态 -iz(b) j 〉q 的等序号的各个模的振幅之积R(q)j R(b)j 的和∑qj=1[R(a)j R(b)j ]组成的混合位θ(R)pq -θ(I)nq +∑qj=1[R(a)j R(b)j ]分别满足一定的条件时 ,不论p为奇数还是偶数 ,态Ψ〉q 的两个正交相位分量交替呈现周期性变化的等阶偶数阶Y压缩效应 ,p为奇数时的压缩深度大于p为偶数时的压深度这一结果是对称两态叠加多模叠加态所不具有的更多还原

【Abstract】 In this paper,a kind of nonsymmetry multi-mode quantum superposition state Ψ〉_q is constituted by the complex conjugate multi-mode coherent state z^（a）*_j〉_q and the contrary state -iz^（b）*_j〉_q of imaginary conjugate coherent state iz^（b）*_j〉_q.It is studied for the equal-order even-number-order Y-squeezing effect in Ψ〉_q, by using multi-mode squeezed state theory.When squeezing order N is even number ,viz. N=2p（p=1,2,3,…）,it is found that the two quardrature phase components on the Ψ〉_q present alternately equal-order even-number-orderY-squeezing effect which changes periodically whether p is odd number or even number,while some phase conditions are saisfied respectively by the initital phase φ_i of each mode in Ψ〉_q and by the initital mixing-phase Δθ+∑qj=1[R^（a）_jR^（b）_j] which is composed of the initital phase difference between the two components of the state Ψ〉_q and the sum ∑qj=1[R^（a）_jR^（b）_j] of the product R^（a）_jR^（b）_j of amplitude of each mode in z^（a）*_j〉_q and amplitude R^（b）_j of each mode in -iz^（b）*_j〉_q . The squeezing-intensity odd-number p is bigger than that under even-number p,which is not the result in symmetry multi-mode superposition state.更多还原