Brandon M. Anderson, Charles W. Clark
We investigate the properties of an atom under the influence of a synthetic three-dimensional spin- orbit coupling (Weyl coupling) in the presence of a harmonic trap. The conservation of total angular momentum provides a numerically efficient scheme for finding the spectrum and eigenfunctions of the system. We show that at large spin-orbit coupling the system undergoes dimensional reduction from three to one dimension, and the the spectrum is approximately Landau level-like. We explore the properties of the ground state in both position and momentum space. We find the ground state has spin textures with long scale approximations.
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http://arxiv.org/abs/1206.0018
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