标题： 指数模型中的自发辐射 显示英文标题

标题： Spontaneous emission in an exponential model

摘要： 自发辐射现象可能导致虚耦合和频移的产生。 为了探索这一点，我们采用了修正后的第一Nikitin模型，揭示了与相位和虚耦合以及频移相关的指数失谐变化。 通过采用时间依赖的薛定谔方程，我们研究了系统的行为。 我们的研究结果表明，虚耦合提供了特定信息，而频移在能量实部的能量图中产生了允许区和禁止区。 在能量虚部的图中，时间决定了系统的有序或混沌，并识别了信息传输区域。 值得注意的是，在短时间近似下，第一Nikitin模型与Rabi模型表现出相似性。 我们的理论结论与数值解一致。 显示英文摘要

摘要： The phenomenon of spontaneous emission can lead to the creation of an imaginary coupling and a shift. To explore this, we utilized the renormalized first Nikitin model, revealing an exponential detuning variation with a phase and an imaginary coupling along with the shift. By employing the time-dependent Schr\"odinger equation, we investigated the behavior of our system. Our findings indicate that the imaginary coupling provides specific information, while the shift generates allowed and forbidden zones in the energy diagram of the real part of the energy. In the diagram of the imaginary part of the energy, time dictates order or chaos in the system and identifies the information transmission zone. Notably, the first Nikitin model exhibits similarities to the Rabi model in the short-time approximation. Our theoretical conclusions are consistent with numerical solutions.