Adiabatic potentials using multiple radio frequencies

TL;DR

This paper develops a Floquet theory-based approach to accurately model adiabatic RF potentials involving multiple near-degenerate frequencies, enabling complex trapping geometries for ultra-cold atoms.

Contribution

It introduces a comprehensive Floquet-based method for multi-frequency RF potentials, overcoming limitations of previous models and allowing flexible trap design.

Findings

Significant corrections to existing models near frequency degeneracy

No restrictions on dimension, number, or orientation of RF fields

Potential to create complex trapping geometries like ring vortex solitons

Abstract

Adiabatic radio frequency (RF) potentials are powerful tools for creating advanced trapping geometries for ultra-cold atoms. While the basic theory of RF trapping is well understood, studies of more complicated setups involving multiple resonant frequencies in the limit where their effects cannot be treated independently are rare. Here we present an approach based on Floquet theory and show that it offers significant corrections to existing models when two RF frequencies are near degenerate. Furthermore it has no restrictions on the dimension, the number of frequencies or the orientation of the RF fields. We show that the added degrees of freedom can, for example, be used to create a potential that allows for easy creation of ring vortex solitons.