态|ψ3(3)〉q广义电场分量的等幂次N次方H压缩

构造了由多模复共轭相干态|{iZ_j^*}〉_q、多模复共轭虚相干态|{iZ_j^*}〉_q(j=1,2,…q)和多模真空态|{0_j}〉_q线性叠加所组成的第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中广义电场分量(即第二正交相位分量)的广义非线性等幂次N次方H压缩特性.发现:态|ψ₃⁽³⁾〉_q是一种典型的三态叠加多模非经典光场;当腔模总数q与压缩次数N之积q·N为偶数时,在一定条件下,态|ψ₃⁽³⁾〉_q的广义电场分量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、偶数模-偶数次N次方H压缩效应.

The Properties of Generalized Nonlinear Equal-Power N-th Power H-Squeezing of Generalized Electric Field Component in The State|ψ(3)3〉q

The third kind of the three state superposions multimode superposition state light field |ψ₃⁽³⁾〉_q is constructed,which is composed of the linear superpositions of multimode complex conjugation coherent state |{iz_j^*}〉_q, multimode complex conjugation imaginary coherent state |{iz_j^*}〉_q and the multimode vaccum state |{0_j}>_q. By utilizing the theory of multimode squeezed state, the properties of generalized nonlinear equal-power N-th power H-squeeing of the generalized electric componant in the state |ψ₃⁽³⁾〉_q are studied systematically. It is found that the state |ψ₃⁽³⁾〉_q is a new type of three state superpositions multimode nonclassical light field. If qN, the products of cavity-mode-number q and the squeeing-power-number N, is an even number only, and while some certain conditions are satisfied, the generalized eletric component (or the second perpendicular phase component) of the state |ψ₃⁽³⁾〉_q can always display generalized nonlinear equal-power odd-number-mode with even-number-power, even-number-mode with odd-number-power, and even-number-mode with even-number-power N-th power H-squeezing effects respectively, that changes periodically.