超几何光场态与二能级原子相互作用中原子反转的演化及光场的反聚束效应

EFFECTS OF HYPERGEOMETRIC STATE ONTHE DYNAMICAL EVOLUTION OFINTENSITY-DEPENDENT JAYNES-CUMMINGS MODEL

研究作为二项式态单参数推广的超几何态与二能级原子的强度耦合相互作用．讨论了原子反转的动力学演化以及光场的反聚束效应．

The hypergeometric state is a one-parameter generalization of the binomial state. Itcan reduce to the binomial state in certain limit. The interaction of the binomial statewith two-level atoms in cavities has been studied in detail in the literature. In this article, we study the interaction of the hypergeometric state with two-level atoms. We usethe intensity-dependent Jaynes-Cummings model and the interaction is of intensity-dependent type. The dynamics of atomic population inversion and second order correlationfunction of the field were studied in detail. The collapse and revival phenomena arefound when the initial field state is the hypergeometric state. The field can show antibunching effects. The anti-bunching effect is better than that of the binomial state.