Useful transformations: from ion-laser interactions to master equations
R. Ju\'arez-Amaro, J.M. Vargas-Mart\'inez, H. Moya-Cessa
TL;DR
This paper introduces a set of transformations that simplify complex quantum-optical problems, enabling analytic solutions for ion-laser interactions, atom-field interactions, and master equations describing losses.
Contribution
The paper presents new transformations that unify and simplify the derivation of analytic solutions across various quantum-optical systems.
Findings
Transformations enable analytic solutions for ion-laser interactions.
Simplification of atom-field interaction problems.
Derivation of master equations for loss processes.
Abstract
We show set of transformations which allow to obtain analytic solutions in several quantum-optical problems. We start with the ion-laser (time dependent) interaction, continue with the problem of a slow atom interacting with a quantized field to end with a master equation that describes losses. In all cases it is shown that one may find useful transformations that simplify the problems.
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