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arXiv · 0906.1625

Control of Tripod-Scheme Cold-Atom Wavepackets by Manipulating a non-Abelian Vector Potential

Qi Zhang·Jiangbin Gong·C. H. Oh
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Abstract

Tripod-scheme cold atoms interacting with laser beams have attracted considerable interest for their role in synthesizing effective non-Abelian vector potentials. Such effective vector potentials can be exploited to realize an all-optical imprinting of geometric phases onto matter waves. By working on carefully designed extensions of our previous work, we show that coherent lattice structure of cold-atom sub-wavepackets can be formed and that the non-Abelian Aharonov-Bohm effect can be easily manifested via the translational motion of cold atoms. We also show that by changing the frame of reference, effects due to a non-Abelian vector potential may be connected with a simple dynamical phase effect, and that under certain conditions it can be understood as an Abelian geometric phase in a different frame of reference. Results should help design better schemes for the control of cold-atom matter waves.

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Qi Zhang, Jiangbin Gong, C. H. Oh. 2009-06-09. Control of Tripod-Scheme Cold-Atom Wavepackets by Manipulating a non-Abelian Vector Potential. https://doi.org/10.1016/j.aop.2010.04.006

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