摘要

A nonlinear theoretical model of interaction between q-deformed light field and a cascade three-level atom has been constructed. The formal solution of Schrodinger equation in the interactive representation and the expectation value of the interaction on such a state are obtained. Then, the influence of q deformation on photon antibunching effects is studied by numerical calculation. The results show that the more q deviates from 1, the stronger controllability to antibunching effects the q deformation has. It reflects the effect of the nonlinear behavior of q deformation on quantum coherence and quantum properties. When q -> 1, the theory reduces to the normal linear theory.