Three-Dimensional Spin-Orbit Coupling in a Trap

Abstract

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 energies, the spectrum is approximately given by the three-dimensional isotropic harmonic oscillator. We explore the properties of the ground state in both position and momentum space. We find the ground state has spin textures with oscillations set by the spin-orbit length scale.

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Cited by in corpus (9)

• Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
• Harmonically Trapped Atoms with Spin-Orbit Coupling
• Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
• Symmetry protected skyrmions in 3D spin-orbit coupled Bose gases
• Spin-orbit coupled bosons interacting in a two-dimensional harmonic trap
• Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap
• Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
• Weyl spin-orbit-coupling-induced interactions in uniform and trapped atomic quantum fluids
• Omnidirectional spin Hall effect in a Weyl spin-orbit coupled atomic gas