Spontaneous emission in an exponential model

Abstract

The phenomenon of spontaneous emission can lead to the creation of an imaginary coupling and a shift. To explore this, we utilize the renormalized first Nikitin model, which features an exponential detuning variation with a phase, an imaginary coupling, and a shift. By employing the time-dependent Schrödinger equation, we investigate the behavior of our system. Our findings indicate that the imaginary coupling provides specific insights, while the shift gives rise to 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 determines whether the system exhibits order or chaos and helps identify the information transmission zone. Notably, the first Nikitin model exhibits similarities to the Rabi model in the short-time approximation. Our theoretical results are consistent with numerical simulations.