Spontaneous emission in an exponential model

TL;DR

This paper investigates spontaneous emission effects using an exponential model, revealing how imaginary couplings and shifts influence energy zones and system dynamics, with implications for information transmission and model similarities.

Contribution

It applies the renormalized first Nikitin model to analyze spontaneous emission, uncovering new insights into energy shifts, imaginary couplings, and system behavior in quantum models.

Findings

Imaginary coupling encodes specific information.

Energy shifts create allowed and forbidden zones.

Time influences order and chaos in energy dynamics.

Abstract

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.