非对称两态叠加多模量子叠加态的不等阶N_j次方H压缩

The effect of unequal order N_jth power H squeezing in the multi mode quantum superposition state With two nonsymmetry multi-mode quantum states

利用多模压缩态理论,研究了由多模复共轭相干态｜{z(a) j}〉q和多模复共轭相干态｜{z(b) j}〉q的相反态｜{-z(b) j}〉q这两个非对称的量子态的线性叠加所组成的多模量子叠加态｜ψ〉q的高阶不等阶Nj次方H压缩效应,结果表明,如果各个模的压缩阶数Nj与各个模的初始位相φj之积Njφj的总和以及态｜{z(a) j}〉q和态｜{-z(b) j}〉q之间的初始相位差θ(R)pq-θ(R)nq分别满足一定的条件时,多模量子叠加态｜ψ〉q的两个正交相位分量可分别呈现出周期变化的高阶不等阶Nj次方H压缩效应.当各个模的压缩阶数的和为奇数时可获得较大的压缩深度.

The multi-mode squeezed state theory is utilized to study the effects of higher order unequal-order N_jth power H-squeezing on the multi-mode quantum superposition state |ψ〉_q that is made of the linear superpositinos of the two nonsymmetry multi-mode coherent states |{z^((a)~*)_j}〉_q and |-{z^((b)~*)_j}〉_q, it is found that two quardrature phase components in state |ψ〉_q can always display respectively the generalized nonliear higher-order unequal -order N_jth power Y-squeezing effects which changes periodically while some conditions are satisfied respectively by the sum ∑qj=1N_jφ_j of the multiplication N_jφ_j of the initial phase φ_j of each mode and squeezing order number N_j of each mode(here j=1,2,3,…,q), and by the initial phase difference θ^((R))_(pq)-θ^((R))_(nq) between the two components of state |ψ〉_q. The squeezing intensity is bigger when sum ∑qj=1N_j of squeezing order number N_j of each mode is odd number.