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arXiv · 0704.0476

Geometric phase of an atom inside an adiabatic radio frequency potential

P. Zhang·L. You
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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.

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P. Zhang, L. You. 2007-04-04. Geometric phase of an atom inside an adiabatic radio frequency potential. https://doi.org/10.1103/physreva.76.033615

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