中文摘要：

研究了多能级原子与多模光场的相互作用.探讨了旋波近似下N能级原子与（N-1）模光场相互作用演化规律,给出了相互作用绘景中其相应的Schroedinger方程的解析通式,分析了三能级原子、四能级原子分别与双模、三模光场相互作用的演化规律.研究结果表明：当原子初始时刻处于基态时,三能级原子与四能级原子的基态概率幅具有相同的变化规律.

英文摘要：

Interaction of multi-level atoms with multi-mode fields is studied, Under rotation wave approximation, one can reveal the evolution laws of an N-level atom interacting with （N - 1 ） mode cavity fields, and obtain the analytic solution of the corresponding Schroedinger equation in the interaction picture. Furthermore, the evolution expression of a three-level atom interacting with two mode fields and a four-level atom interacting with three mode fields, respectively, are given in detail. When the initial states of atoms are ground states, the probability amplitude of ground states will have the same evolution expression for both three-level atoms and four-level atoms.