两双能级原子与双模腔场多光子共振相互作用辐射谱的一般特征

A GENEKALCHARACTERISTIC OF EMISSION SPECTKUM FOR A PAIR OF TWO -LEVEL ATOMS KESONANTLY INTEKACTING WITH TWO MODES CAVITY FIELD THROUGH MULTIPHOTON PROCESS

本文从非相对论量子电动力学理论的普遍原理出发，首先建立了与Ｊ－Ｃ模型相关的“双模腔场－两原子”系统的多光子相互作用模型，并求得本征算符在共扼相互作用情形下的本征函数展开式；然后，重点研究了两个通过偶极－偶极力关联的有效二能极原子与双模腔场多光子共振相互作用辐射谱的一般特征。结果表明，当双模腔场分别处于不同数态时，辐射谱一般呈现出非对称的８峰结构，但在不同的条件下，辐射谱会呈现出数目不等、形状各异的谱线。两原子非简并双光子Ｊ－Ｃ模型的辐射谱可作为特例得出。

In this paper,on the basis of the general principle of the nonrelativistic quantumelectrodynamics,a multiphoton interaction model of two atoms with two modes of the field isconstructed.This model is interrelated with theJ-Cmodel.The eigenfunction expansions of theeigenoperator are derived under the condition of resonant interaction. Then,the emphasis is put on theinvestigation of the general characteristic of the multiphoton emission spectrum for a pair ofdipole-dipole coupling effective two level atoms interacting with two modes of the field throughmutliphoton resonant process. It is found that the emission spectrum generally consists of eightasymmetric peaks when two modes of cavity field are initially in various number states. But underdifferent conditions, the emission spectra show the lines with different numbers and various shapes.The emissionspectra oftwo-atoms nondegenerate two-photonJaynes-Cummings model may be obtainedas a specific example.