非对称三态叠加多模泛函叠加态高次振幅压缩——态|ψ_f^((3))〉q的广义磁场分量的广义非线性不等幂次N_j次方Y压缩效应

Generalized Nonlinear Unequal-Power Higher-Power Amplitude Squeezing of Asymmetrical Multimode Functional Super-position State Light-Field with Superposition of Three Macroscopically Distinct Quantum States——Effect of generalized nonlinear unequal-Power

构造了由两个空间强度分布特征不同的多模复共轭泛函相干态|{f(a)*j(x,y,z)}〉q和|{f(b)*j(x,y,z)}〉与一个多模真空态|{0j}〉q线性叠加组成的非对称三态叠加多模叠加态光场|ψ(3)f〉q.利用多模压缩态理论,研究了态|ψ(3)f〉q的广义磁场分量的广义非线性不等幂次高次Y压缩特性.结果表明:在一定的条件下,态|ψ(3)f〉q的广义磁场分量可呈现出周期性变化的不等幂次高次Y压缩效应;光场的经典强度、经典振幅和经典初始相位的任意空间分布特征对其压缩程度和压缩深度等将产生直接的影响.

It was constructed firstly that the three-states superposition multimode functional superposition state light-field|ψ^((3))_f>_q was made up of the two different multimode complex conjugate functional coherent state |{f^(((a))~*)_j(x,y,z)}>_q and |{f^(((b))~*)_j(x,y,z)}>_q which had rather different spatial intensity distribution characteristics and the multimode vacuum state |{0_j}>_q according to the linear superposition principle of quantum state in quantum mechanics. And then the multimode squeezed state theory was utilized to study the effects of generalized nonlinear unequal-power higher-power Y-squeezing of generalized magnetic-field component in the state|ψ^((3))_f>_q. It was shown that under a series of fixed conditions,the generalized magnetic-field component of the state|ψ^((3))_f>_q can always display the effects of generalized nonlinear unequal-power higher-power Y-squeezing which changes periodically and alternatively; the any asymmetrical spatial distribution profile of the classical intensity and the classical amplitude,and the any spatial distribution features of the initial classical phase of the quantum light-field state|ψ^((3))_f>_q would have a direct influence upon the squeezed degree and squeezed depth of generalized nonlinear unequal-power higher-power Y-squeezing present by the generalized magnetic-field component in the state |ψ^((3))_f>_q.