In this paper, two-level atoms interacting with a single-mode radiation field alongside important properties are presented. The model presented discusses multi-photon process and it has also a nonlinear Kerr-medium and Stark-shift. In addition, the coupling parameter is discussed in a time-dependent fashion. The results show that Stark-shift, time-dependent coupling parameter, and nonlinear Kerr-medium play significant roles regarding the evolution of the von-Neumann entropy and the system's geometric phases. We've used accessible parameters to examine these observations, and some new results are obtained. Remarkably, the geometric phase shows high sensitivity to any change of the considered parameters.

在本文中，提出了具有重要性质的与单模辐射场相互作用的两能级原子。提出的模型讨论了多光子过程，并且还具有非线性Kerr介质和Stark位移。另外，以时间相关的方式讨论耦合参数。结果表明，Stark位移，时变耦合参数和非线性Kerr介质对von-Neumann熵的演化和系统的几何相位起着重要作用。我们使用了可访问的参数来检查这些观察结果，并获得了一些新的结果。显着地，几何相位显示出对所考虑参数的任何变化的高度敏感性。