第Ⅰ类多模叠加态|ψ1(3)〉q中广义磁场的高次和压缩

构造了由多模相干态|{Z_j} > _q、多模真空态|{O_j} >_q和多模相干态的相反态|{-Z_j} > _q三者的线性叠加所组成的第Ⅰ类三态叠加多模叠加态光场|ψ₁⁽³⁾ > _q,利用多模压缩态理论,研究了态|ψ₁⁽³⁾ > _q中广义磁场分量的等幂次高次和压缩效应.结果发现:态|ψ₁⁽³⁾ > _q是一种典型的三态叠加多模非经典光场;当各模的初始相位和 满足一定的取值条件、并且态|ψ₁⁽³⁾〉_q中任意两态的态间初始相位差(θ_pq^(R)-θ_0q⁽⁰⁾)、(θ_nq^(R)-θ_0q⁽⁰⁾)和(θ_pq^(R)-θ_nq^(R))等分别在各自的闭区间内连续变化时,则态|ψ₁⁽³⁾ > _q的广义磁场分量(即第一正交相位分量)总可分别呈现出周期性变化的、等幂次的奇数模-偶数次、偶数模-奇数次、偶数模-偶数次或者奇数模-奇数次的高次和压缩效应.

THE EQUAL-POWER HIGHER-POWER SUM SQUEEZING OF GENERALIZED MAGNETIC FIELD COMPONENT IN THE FIRST KIND OF THREE STATE SUPERPOSITION MULTIMODE SUPERPOSITION STATE LIGHT

The first kind of the three state superposition multimode superposition light field |ψ₁⁽³⁾ > _q is constructed that is made of multimode coherent state light field |{Z_j} > _q 、multimode vaccum state light field |{O_j} > _q and contrary state |{Z_j} > _q of multimode coherent state and that is based upon the linear superposition principle of quantum state in quantum mechanics in this paper. Then the multimode squeezed state theory is utilized to study the properties of equal-power higher power sum-squeezing of generalized magnetic field component in the state |ψ₁⁽³⁾ > _q in detail. It is found that the state |ψ₁⁽³⁾ > _q is a new type of three state superposition multimode nonclassical light field, while some certain conditions are satisfied bythe initial phase sum qj=1φ_j of each mode in the state |ψ₁⁽³⁾ > _q, and while the initial phase difference(θ_pq^(R) -θ_0q⁽⁰⁾)、(θ_nq^(R)-θ_0q⁽⁰⁾)and(θ_pq^(R)-θ_nq^(R))between any two states in the state |ψ₁⁽³⁾ > _q change continuously within their own fixed and closed regions respectively, the generalized magnetic field component(or the first perpendicular phase component)of the state |ψ₁⁽³⁾ > _q can always display the generalized nonlinear equal-power odd number mode with even-number-power, even number mode with odd number power, even number mode with even-number-power, and odd number mode with odd number power higher power sum-squeezing, respectively, which changes periodically.