The interaction of a 2-level atom with a time-dependent cavity field (two-photon non-degenerate transitions) in the parametric amplifier-type is considered. Using the integrability conditions, taking into account the phase and coupling, a general solution of the model is obtained through the Schrödinger equation. The effects of the functional dependence of the coupling and the initial state of the 2-level atom on atomic inversion, the degree of entanglement, entropy squeezing are investigated. It is shown that the acceleration term plays an important role in controlling the functions behavior of the considered quantities.

中文翻译：

---

两能级原子与双峰电磁场之间的时间依赖相互作用

考虑了参数放大器类型中 2 能级原子与时间相关腔场（双光子非简并跃迁）的相互作用。使用可积性条件，考虑相位和耦合，通过薛定谔方程得到模型的一般解。研究了耦合的函数依赖性和 2 能级原子的初始状态对原子反转、纠缠度、熵压缩的影响。结果表明，加速度项在控制所考虑量的函数行为方面起着重要作用。