TL;DR
This paper introduces a wave packet approach to solve the Jaynes-Cummings model in cavity QED, providing new insights into its dynamics and effects like the rotating wave approximation and collapse-revival phenomena.
Contribution
It presents a novel numerical wave packet method for the Jaynes-Cummings model, offering a different perspective on cavity QED dynamics and extensions to more complex systems.
Findings
Wave packet propagation effectively solves the Jaynes-Cummings model.
The approach offers new insights into collapse-revival phenomena.
The effect of the rotating wave approximation is analyzed in detail.
Abstract
The Jaynes-Cummings model, with and without the rotating wave approximation, is expressed in the conjugate variable representation and solved numerically by wave packet propagation. Both cases are then cast into systems of two coupled harmonic oscillators, reminiscent of coupled bound electronic potential curves of diatomic molecules. Using the knowledge of such models, this approach of the problem gives new insight of the dynamics. The effect of the rotating wave approximation is discussed. The collapse-revival phenomenon is especially analyzed in a non-standard manner. Extensions of the method is briefly mentioned in terms of a three-level atom and the Dicke model.
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