态|Ψ(3)>q中广义电场分量的偶数次N次方Y压缩

构造了由多模复共轭虚相干态、多模复共轭虚相干态的相反态和多模复共轭相干态的线性叠加所组成的一种新型的三态叠加多模叠加态光场|Ψ⁽³⁾>_q.利用多模压缩态理论,研究了态|Ψ⁽³⁾>_q中广义电场分量的偶数次等幂次N次方Y压缩特性.结果发现:态|Ψ⁽³⁾>_q是一种典型的三态叠加多模非经典光场;当压缩次数N等于2P且P为2m’+1(m’=0,1,2,…,…)时,如果各模的初始相位φ_j(j=1,2,3,…,…,q)、态间的初始相位差(θ₁-θ₂)、(θ₁-θ₃)和(θ₂-θ₃),以及各单模相干态光场的总的平均光子数等分别满足各自的取值条件,则在这种情况下态|Ψ⁽³⁾>_q的广义电场分量可呈现出偶数次的广义非线性等幂次2(2m’+1)次方Y压缩效应.

GENERALIZED NONLINEAR EQUAL-POWER N-TH POWER Y-SQUEEZING OF GENERALIZED ELECTRIC FIELD COMPONENT IN THE STATE |Ψ(3)〉q

It is constructed that a new kind of multimode light field state |Ψ⁽³⁾ >_q Which is composed of the linear superpositions of macroscopically distinct three quantum states named multimode complex conjugation imaginary coherent state,the contrary state of multimode complex conjugation imaginary coherent state and multimode complex conjugation coherent state. By using the theory of multimode squeezed states established recently, the generalized nonlinear even number power equal power N-th power Y-squeezing effects of generalized electric field component in the state |Ψ⁽³⁾ >_q is studied firstly in detail. It is found that if the squeezed-power-number N=2P and P=2m’+1 (here, m’=0,1,2,...,...), While some certain conditions are satisfied respectively by the initial phase φ_j (here, j=1,2,3,...,...,q) of each mode in the state |Ψ⁽³⁾ >_q, by the initial phase difference (θ₁-θ₂)、(θ₁-θ₃) and (θ₂-θ₃) between any two states in the state |Ψ⁽³⁾ >_q and by the sum of mean photon numbers of all the single mode coherent state light field, generalized electric field component in the state |Ψ⁽³⁾ >_q can always display the effects of even-number-power generalized nonlinear equal power 2(2 m’+1)-th power Y-squeezing.