态|ψ3(3)〉q中广义磁场分量的等幂次高次和压缩

根据量子力学中态的线性叠加原理,构造了由多模复共轭相干态|{Z_j^*〉_q(j=1,2,……q)、多模复共轭虚相干态|{iZ_j^*〉_q和多模真空态|{0_j}〉_q的线性叠加组成的第Ⅲ类三态叠加多模叠加态光场|ψ₃⁽³⁾〉_q.利用多模压缩态理论,研究了态|ψ₃⁽³⁾〉_q广义磁场分量(即第一正交相位分量)的广义非线性等幂次高次和压缩特性结果发现:当腔模总数q与压缩次数N之积qN取偶数时,态|ψ₃⁽³⁾〉_q广义磁场分量在一定条件下可分别呈现出周期性变化的、广义非线性等幂次奇数模—偶数次、偶数模—奇数次或偶数模—偶数次的高次和压缩效应.

Effects of Generalized Nonlinear Equal-power Higher-power Sum Squeezing of Generalized Magnetic Field Component in the State |Ψ(3)3〉q

It is studied that the effects of generalized nonlinear equal-powor higher-power sum squeezing of generalized magnetic field component in the third kind of the three state superpositions multimode superposition state light field |ψ₃⁽³⁾〉_q which is composed of the multimode complex conjugation coherent state |{z_j^*} > q, the multimode complex conjugation imaginary coherent state |{z_j^*} > q and the multimode vaccum state|{0_j}> q. The result show that the state |ψ₃⁽³⁾〉_q is a new type of three state superposition multimode nonclassical light field. If qN, the products of cavity-mode-number q and the squeezing-power-number N, is an even number only, and under some certain conditions, the generalized magnetic component (or the first perpendicular phase component) in the state |ψ₃⁽³⁾〉_q can always present generalized nonlinear equal-power odd-numer-mode with even-number-power, even-number-mode with odd-number-power, and even-number-mode with even-number-power higher-power sum squeezing effects respectively, which changes periodically.