The effect of nonlinear medium and phase damping is investigated on an atom of three levels in different forms interacting with the SU(1,1) Lie algebra. The SU(1,1) system starts the interaction from the Perelomov coherent state, while the atom starts the interaction from excited-most state. The time dependent wave function is calculated by using the Schrdinger equation. The density matrix is obtained. The influences of damping, nonlinearity (Kerr-like medium), Perelomov coherent parameter and the Bargmann index on some non-classical properties, such as: revivals-collapses phenomenon, entanglement and atomic variables squeezing, are investigated.

研究了非线性介质和相位阻尼对与 SU(1,1) 李代数相互作用的不同形式的三个能级原子的影响。SU(1,1)系统从Perelomov相干态开始相互作用，而原子从最激发态开始相互作用。瞬态波函数是通过使用 Schrdinger 方程计算的。获得密度矩阵。研究了阻尼、非线性（类克尔介质）、Perelomov 相干参数和 Bargmann 指数对一些非经典性质的影响，例如：复兴-坍缩现象、纠缠和原子变量挤压。