三态叠加多模泛函叠加态光场的高次压缩——广义磁场分量等幂次振幅压缩效应研究

Higher-power squeezing in the macroscopically distinct three quantum states superposition multimode functional superposition state light field——On effect of equal-power amplitude-squeezing of generalized magnetic field component

构造了由多模真空态｜ { 0 j}〉q 与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) f (x ,y ,z) }〉q和｜ {f(b) f (x ,y ,z) }〉q的线性叠加组成的三态叠加多模泛函叠加态光场｜ψ( 3 )f 〉q,利用多模压缩态理论 ,研究了态 ｜ψ( 3 )f 〉q 中广义磁场分量的等幂次高次振幅 (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等幂次高次Y压缩效应 ;

It is constructed in this paper that the three-states superposition multimode functional superposition state light field ｜ψ^((3))_f〉_q is made up of the multimode vacuum state ｜{0_j}〉_q, and the two different multimode complex functional coherent states ｜{f~^((a)*)_f(x,y,z)}〉_q and ｜{f~^((b)*)_f(x,y,z)}〉_q which have rather different spatial intensity distribution characteristic according to the superposition principle of quantum state in quantum mechanics. The properties of equal-power higher-power amplitude-squeezing (Y-squeezing) of generalized magnetic field component of the state ｜ψ^((3))_f〉_q is studied firstly by utilizing the multimode squeezed state theory. It is shown that under a series of fixed conditions, the generalized magnetic-field component of the state ｜ψ^((3))_f〉_q can display the effect of generalized nonlinear equal-power higher-power Y-squeezing which changes periodically and alternatively; and the asymmetrical spatial distribution of the classical intensity and the classical amplitude, and the spatial distribution features of the initial classical phase of light-field in the state ｜ψ^((3))_f〉_q would have a direct influence upon the squeezed degree of equal-power higher-power Y-squeezing present by the generalized magnetic-field component in the state ｜ψ^((3))_f〉_q.