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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. © 2010 Elsevier Inc.
Keywords
Coherence lattice of cold-atom wavepackets, Non-Abelian Aharonov-Bohm effect, Non-Abelian geometric phase
Source Title
Annals of Physics
Publisher
Series/Report No.
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Date
2010-06
DOI
10.1016/j.aop.2010.04.006
Type
Article