第Ⅲ类三态叠加多模叠加态光场的广义非线性N_j次方H压缩

The Effects of Generalized Nonlinear Unequal-power N_j-th Power H-squeezing in the Third Kind of Multimode Superposition State Light Field with the Superposition of Three Quantum States

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 、多模复共轭虚相干态｜{iZ j} >q及多模真空态｜ { 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｜ψ( 3 )3 >q。利用多模压缩态理论 ,研究了态的广义非线性不等幂次 Nj次方 H 压缩效应。结果表明 ,仅当各模的压缩次数之和为偶数时 ,各模初始位相 φj(j=1,2 ,… ,q) 与各模压缩次数Nj 的乘积Njφj之和及态｜ψ( 3 )3 >q 中任意两态间初始位相差 (θi-θj) (i,j =1,2 ,3) 满足一定的条件下 ,态｜ψ( 3 )3 >q 的第一和第二正交相位分量分别可呈现周期性变化的、任意次的广义非线性不等幂次Nj 次方H压缩效应。

On the bases of the linear superposition principle of quantum state in quantum mechanics, |ψ (3) 3>q -the third kind of the three state superposition multimode superposition state light field is constructed that is composed of linear superposition of multimode complex conjugation coherent state |{Z * j}> q ?multimode complex conjugation imaginary coherent state |{iZ * j}> q and multimode vaccum state |{0 j}> q . By utilizing the theory of multimode squeezed states, the properties of generalized nonlinear unequal-power N j-th power H-squeezing in the state |ψ (3) 3>q is studied in detail. It is found that when the sum of the squeezing power of each mode is even number only and certain conditions are satisfied, the first perpendicular phase component and the second one of the state |ψ (3) 3>q can always display any power generalized nonlinear unequal-power N j-th power H-squeezing effects that change periodically, respectively.