双模腔场中具有不同耦合常数的两原子多光子辐射谱

研究了与双模腔场具有不同耦合常数的两个二能级原子的多光子辐射谱,给出了双模多光子辐射谱的一般表达式.结果表明,当双模腔场分别处于不同数态时,虽然两原子与双模腔场之间具有不同的耦合常数,但对于任意的N₁和N₂(N_i(i＝1,2,)为模i腔场被每个原子吸收或发射的光子数),辐射谱总是关于共振频率ω₀对称分布;并且,当N₁＝N₂时,对于任意的数态光子数n₁和n₂交换,辐射谱不变.上述特点用解析方法给予了解释.计算了非简并双光子情况下的辐射谱,并得到了一些新结果.双模腔场中单原子及具有相同耦合常数的两原子辐射谱可从本文结果分别做为特例而得到.

MULTIPHOTON EMISSION SPECTRUM OF TWO ATOMS INTERACTING WITH TWO MODES OF RADIATION FIELD WITH DIFFERENT COUPLING CONSTANTS

The multiphoton emission spectrum of a pair of two-level atoms interacting with two modes of the radiation field with different coupling constants is studied. A general expression for the twomode multiphoton emission spectrum is presented. Our results show that when two modes of the field are in arbitrary number states,the spectrum is always symmetic about the resonant frequency ωo for arbitrary N₁ and N₂ although two atoms interact with two modes of the field with different coupling constants and is unchanged for the exchange of arbitrary n₁ and n₂ for arbitrary N₁=N₂,N_i(i=1, 2)is the photon number of the ith mode of the field absorbed or emitted by an atom. These properties are explained with an analytic method. The nondegenerate two-photon emission spectrum of two atoms are calculated when the two modes of the field are in various number states and some new results are obtained. The spectrum of a single atom interacting with two modes of the field and the one of two atoms interacting with two modes of the field with the same coupling constants may be obtained as two examples.