# Three-dimensional spin–orbit coupling in a trap

@article{Anderson2013ThreedimensionalSC, title={Three-dimensional spin–orbit coupling in a trap}, author={Brandon M. Anderson and Charles W. Clark}, journal={Journal of Physics B}, year={2013}, volume={46}, pages={134003} }

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…

## 10 Citations

Energy spectrum of a harmonically trapped two-atom system with spin–orbit coupling

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A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-orbit coupling is investigated. An analytic treatment of the ground state of a single atom in the…

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Effective theories are a controlled approach to making approximations in physics. We describe here work on two applications of effective theory techniques in few-body physics, specifically to nuclear…

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For the Bose–Einstein condensate in the non-Abelian gauge field, the atomic wavefunction obtains helical modulation, which would lead to nontrivial objects, such as three-dimensional Skyrmion. The ...

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