Three-dimensional spin–orbit coupling in a trap

  title={Three-dimensional spin–orbit coupling in a trap},
  author={Brandon M. Anderson and Charles W. Clark},
  journal={Journal of Physics B},
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 at low energies, and the spectrum is approximately Landau level-like. At high… 

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