多模复共轭奇偶相干态光场的等幂次N次方X奇异压缩

Properties of the Equal-Power N-th Power X-Strange-Squeezing of theMulti-Mode Complex Conjugation Odd- and Even- Coherent State Light Field

利用多模压缩态理论进一步研究了多模复共轭奇、偶相干态光场的广义非线性等幂次高次差压缩特性.分析表明:只要至少有一个模的光子数nj(j=1,2,3,…,2q)小于压缩次数N,则无论腔模数q与压缩次数N之积q·N取奇数还是取偶数,多模复共轭奇、偶相干态光场的广义磁场、广义电场两个正交相位分量均可同时呈现出差压缩效应,这种现象称之为广义非线性等幂次"N次方X奇异压缩"效应,此结果与现有报道截然不同,使"测不准关系"受到破坏;同时说明多模复共轭奇、偶相干态光场确实是两种典型的多模非经典光场.

Applying the theory of multi-mode squeezing state, the properties of the generalized nonlinear equal-power difference squeezing of the multi-mode complex conjugation odd- and even-coherent state light field are further studied in detail. The findings demonstrate that if, at least one mode n_j (j = 1, 2, 3,..., 2q) of the photon number is less than squeezing power N and q·N, the products of cavity modes number q and squeezing-power number N, no matter an even-number or odd-number, the generalized both magnetic field and electrical field perpendicular phase component of multi-mode complex conjugation odd- and even-coherent state light field present equal-power difference squeezing conditions at the same time. This phenomenon is called generalized nonlinear equal-power 'N-th Power X-Strange-Squeezing' effect. The result is completely different from what has been reported recently and is not identical with the law of the 'uncertainty relation'. Therefore, the above mentioned illustrates that the multi-mode complex conjugation odd- and even-coherent state light fields are really two types of multi-mode non-classical light field.