By utilizing multimode squeezed states theory, we study the generalized nonlinear equal-power higher-power sum squeezing properties of the generalized magnetic-field component in four-state superposition multimode entangled state light field |\psi^{(4)}>q. The state is composed of multimode vacuum state, multimode coherent state and its contrary state, multimode imaginary coherent state. It is found that the state |\psi^{(4)}>q is a type of four-state superposition multimode nonclassical light field, and under certain fixed conditions, the generalized magnetic-field component in the state |\psi^{(4)}>q can display generalized nonlinear equal-power 4m-th power sum squeezing effects which change periodically.

利用多模压缩态理论,研究了由多模真空态、多模复共轭相干态、多模复共轭虚相干态以及后两者的相反态的线性叠加所组成的一种五态叠加多模薛定谔猫态光场|Ψ(5)＞q中广义磁场分量的等幂次高次和压缩特性.结果发现:态|Ψ(5)＞q是一种典型的五态叠加多模非经典光场;在一定条件下,态|Ψ(5)＞q的广义磁场分量可呈现出周期性变化的广义非线性等幂4m次和压缩效应.