Invariant approach to the Driven Jaynes-Cummings model

TL;DR

This paper presents an invariant method to analytically solve the driven Jaynes-Cummings model, revealing how external driving fields influence atom-field interactions with exact solutions.

Contribution

The paper introduces an invariant approach that transforms the driven Jaynes-Cummings Hamiltonian into the standard form, enabling exact analytical solutions.

Findings

Exact solutions for the driven Jaynes-Cummings model obtained.

Analysis of dynamical variables under external driving.

Demonstration of the invariant method's effectiveness.

Abstract

We investigate the dynamics of the driven Jaynes-Cummings model, where a two-level atom interacts with a quantized field and both, atom and field, are driven by an external classical field. Via an invariant approach, we are able to transform the corresponding Hamiltonian into the one of the standard Jaynes-Cummings model. Subsequently, the exact analytical solution of the Schr\"odinger equation for the driven system is obtained and employed to analyze some of its dynamical variables.