Stimulated Raman transitions via multiple atomic levels
James Bateman, Andr\'e Xuereb, Tim Freegarde

TL;DR
This paper provides a comprehensive analysis of stimulated Raman transitions involving multiple atomic levels, highlighting the natural emergence of lightshift and its implications for alkali-metal atoms like cesium.
Contribution
It introduces a concise multilevel, off-resonant framework for stimulated Raman transitions, clarifying the role of lightshift and geometrical artifacts in experimental setups.
Findings
Lightshift naturally arises in multilevel Raman transitions.
Application to alkali-metal atoms, especially cesium.
Identification of geometrical artifacts affecting experiments.
Abstract
We consider the stimulated Raman transition between two long-lived states via multiple intermediate states, such as between hyperfine ground states in the alkali-metal atoms. We present a concise treatment of the general, multilevel, off-resonant case, and we show how the lightshift emerges naturally in this approach. We illustrate our results by application to alkali-metal atoms and we make specific reference to cesium. We comment on some artifacts, due solely to the geometrical overlap of states, which are relevant to existing experiments.
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