建立了q形变偶相干场与Ξ型三能级原子相互作用的非线性理论，求得了在相互作用表象中薛定谔方程的形式解及其在该形态下的期望值。数值计算结果表明，q形变对相互作用中场压缩效应有着很强的调制能力，这是q形变非线性行为对量子相干性干扰以及对量子特性影响的内在反映。当q→1时，恢复为普通的偶相干光场线性理论。

The nonlinear theory of interaction between q deformed even coherent light field and a Ξ type three-level atom is established. And the formal solution of Schrodinger equation in the representation and its average number are obtained. Through numerical calculation,the results show that the q deformed has much ability of control to the photon squeezing effects. It is the inner reflect that q deformed nonlinear action has influence on the quantum coherence and quantum properties. When q→1,the theory reduces to the common linear theory of even coherent light field.