非对称两态叠加多模量子叠加态的等阶偶数阶Y压缩

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=1R(a)j R(b)j ]组成的混合位θ(R)pq -θ(I)nq +∑qj=1R(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

Equal-order even-number-order Nth-power Y-squeezing on multi-mode superposition state with two nonsymmetry multi-mode quantum states

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=1R~((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=1R~((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.