多模叠加态|Ψ_e^(4),Ⅲ〉_q中广义电场分量的N次方H压缩

THE EQUAL-POWER N-TH POWER H-SQUEEZING OF THE GENERALIZED ELECTRIC FIELD COMPONENT IN MULTIMODE SUPERPOSITION STATE LIGHT FIELD |Ψ_e~ (4),Ⅲ>_q

利用多模压缩态理论 ,详细研究了由多模偶相干态和多模虚偶相干态的线性叠加所组成的一种新型的四态叠加多模叠加态光场 |Ψ(4)e ,Ⅲ〉q 中广义电场分量的等幂次N次方H压缩特性 结果表明 :1 )在腔模总数 q与压缩次数N的乘积 q·N =4m(m =1 ,2 ,3,… )的条件下 ,态 |Ψ(4)e ,Ⅲ〉q 的广义电场分量可恒处于等幂次N H最小测不准态 2 )在 q·N =4m′ + 2 (m′=0 ,1 ,2 ,… )的条件下 ,当态间的初始相位差 (θ1 -θ2 )、各模的初始相位和∑qj=1φj,以及各模平均光子数之总和∑qj =1R2 j 等分别满足一定的取值条件时 ,态 |Ψ(4)e ,Ⅲ〉q

A new type of four state superposition multimode superposition state light field |Ψ (4) e,Ⅲ> q composed of the multimode even and multimode imaginary even coherent state light field is constructed in this paper,The properties of the equal power N th power H squeezing of the generalized electric field component in the state |Ψ (4) e,Ⅲ> q is studied in detail by utilizing multimode squeezed state theory.It is found that:1) When the products between cavity mode number q and squeeting power number N is a even number 4 mor qN=4m(here,m=0,1,2,...),the generalized electric field component of the state |Ψ (4) e,Ⅲ> q is always stayed in equal power N H minimum uncertainty state.2) when qN=4m′+2(m′=0,1,2,...)if the sum ∑qj=1φ j of the initial phase of each mode,and the initial phase difference(θ 1-θ 2) between the two states mentioned above and the sum ∑qj=1R 2 j of the mean value of photon numbers of each mode take the different fixed values,the generalized electric field component of the state|Ψ (4) e,Ⅲ> q can always display the equal power N th power H squeezing effect that changes periodically.