非对称两态叠加多模量子叠加态的等幂偶数次方Y压缩

构造了由多模复共轭相干态|{zj(a)*})q和多模虚共轭相干态|{izj(b)*})q两者的线性叠加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,研究了该态的等幂偶数次方Y压缩效应,结果表明:压缩次数N为偶数,即N=2p(p=1,2,3……),并且各个模的初始相位ψf、态|{zj(a)*})q和态|{izj(b)*})q的初始相位差θpq(R)-θnq(I)及其中等序号的各个模的振幅之积Rj(a)Rj(b)的和∑j=1 q Rj(a)Rj(b)]组成的混合相位θpq(R)-θnq(I)-∑j=1 q Rj(a)Rj(b)]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出周期性变化的等幂偶数次Y压缩效应,p为奇数时的压缩深度大于p为偶数时的压缩深度,这一结果是对称两态叠加多模叠加态所不具有的.

Equal-power Even-number-order Nth Y-squeezing onthe Multi-mode Superposition State with Two NonsymmetryMulti-mode Quantum States

In this paper,a new kind of multi-mode quantum superposition state q was constructed that was composed of the complex conjugate multi-mode coherent state |{zj(a)*})q and the imaginary conjugate multi-mode coherent state |{izj(b)*})q By using the multi-mode squeezed state theory,it was studied that equal-power even-number-order Nth power Y-squeezing effect on the q mentioned above.The result show that when the squeezing order N is an even number,scilicet N=2p(p=1,2,3,......),the two quadrature phase components on the q presents alternately equal-power even-number-order Nth power Y-squeezing effect which changes periodically whether p is an odd number or p is an even number while the certain phase conditions are satisfied respectively by the initial phase j of each mode in q and by initial mixing-phase which is composed of the initial phase difference between the two components of the state q and the sum of the products Rj(a) Rj(b) of the amplitude Rj(a) of each mode in |{zj(a)*})q and the amplitude Rj(b) of each mode in |{izj(b)*})q.Squeezing-intensity under p that is an odd number is bigger than squeezing-intensity under p that is an even number.This result will not be gotten in symmetry multi-mode superposition states.