# Geometric phase of an atom inside an adiabatic radio frequency potential

## TL;DR

This paper studies the geometric (Berry's) phase acquired by an atom moving in an adiabatic radio frequency potential, showing its dependence on static and oscillating magnetic fields, with implications for atom interferometry.

## Contribution

It provides a detailed analysis of the geometric phase in adiabatic rf potentials, including calculations relevant to recent atom interferometry experiments.

## Key findings

- The geometric phase depends on the static magnetic field and the effective magnetic field including rf oscillations.
- The phase can influence interference patterns in atom interferometry.
- Calculations align with recent experimental proposals.

## Abstract

We investigate the geometric phase of an atom inside an adiabatic radio frequency (rf) potential created from a static magnetic field (B-field) and a time dependent rf field. The spatial motion of the atomic center of mass is shown to give rise to a geometric phase, or Berry's phase, to the adiabatically evolving atomic hyperfine spin along the local B-field. This phase is found to depend on both the static B-field along the semi-classical trajectory of the atomic center of mass and an ``effective magnetic field'' of the total B-field, including the oscillating rf field. Specific calculations are provided for several recent atom interferometry experiments and proposals utilizing adiabatic rf potentials.