四态叠加多模光场的等幂次N次方H压缩

Equal-order N-th power H-squeezing of a Four-state Superimposition Multimode Light Field

根据量子力学中的线性叠加原理 ,构造了由奇、偶相干态光场所组成的一种新型的四态叠加多模叠加态光场 |Ψ( 4 )o ,eⅢ〉q.它是由多模虚奇相干态和多模虚偶相干态这两者的线性叠加所组成的 利用多模压缩态理论详细研究了态 |Ψ( 4 )o ,eⅢ〉q 的等幂次N次方H压缩特性 结果发现 :当腔模总数 q与压缩次数N的乘积为奇数时 ,若各模初始相位和 qj=1φj、态间叠加几率幅γo、γe 以及态间相位差θe-θo 等相关参量满足一定的不同条件时 ,态 |Ψ( 4 )o,eⅢ〉q 可分别呈现以下非经典效应 :i)等幂次N次方H压缩 ;ii)“半相干态”

According to the linear superimposition principle in quantum mechanics, a new kind of four-state superimposition multimode superimposition state light field |Ψ (4) o,eⅢ> q is made up of multimode imaginary odd coherent state and multimode imaginary even coherent state. Based on the multimode squeezed state theory, the properties of equal-order N-th power H-sqeezing of the state |Ψ (4) o,eⅢ> q is studied, and it is found that when qN is an odd number, if the addition of initial phase of each vertical order qj=1φ j, the phase difference θ e-θ o, the probability amplitude γ e,γ o of four-state superimposition and other parameters take different fixed value, the state |Ψ (4) o,eⅢ> q presents the following effect:1)equal-order N-th power H-squeezing;2)'half coherent state' effect.