两多模泛函相干态叠加态的高次和压缩——广义磁场分量的不等幂次高次和压缩效应

Effects of generalized nonlinear unequal-power higher-power sum-squeezing of superposition state light-field composed of the two different multimode functional coherent states-unequal higher power sum-squeezing of generalized magnetic-field component

利用多模压缩态理论,研究了多模泛函相干态|{fj(x,y,z)}>q及其相反态|{-fj(x,y,z)}>q的线性叠加所组成的两态叠加多模叠加态光场|ψ(f)(2)>q的广义磁场分量的不等幂次高次和压缩特性。结果发现: 1)当各模的压缩次数:Nj(j=1,2,…,…,q下同)之和为偶数时,态|ψ(f)(2)>q恒处于不等幂次Nj-H最小测不准态;2)当各模的压缩次数Nj之和为奇数时,态|ψ(f)(2)>q在一定条件下可呈现出周期性变化的、任意不等幂次的广义非线性高次和压缩效应。

In this paper, the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power higher-power sum-squeezing of generalized magnetic-field component in the state |ψ(f)(2)>q made up of the linear superposition of multimode functional coherent state |{fj(x,y,z)}>q and its contrary state |{-fj(x,y,z)}>q according to the superposition principle of quantum state in quantum mechanics. It is found that: 1) under the condition of the sum of squeezing-power-number being an any even-number, thestate |ψ(f)(2)>q can always stay in the generalized nonlinear unequal-power Nj-H minimum uncertainty state;and 2) under the condition of the sum of squeezing-power-number being an anyodd-number, while some other fixed conditions are satisfied by the state |ψ(f)(2)>q the state mentioned can display the effects of generalized nonlinear unequal-power Nj-th power H-squeezing that changes periodically and alternatively.