Abstract:
We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-orbit-coupled
three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using numerical solution and variational
approximation of a mean-field model. The spin-orbit coupling provides attraction to form vortex-bright solitons
in both attractive and repulsive spinor BECs. The ground state of these vortex-bright solitons is axially symmetric
for weak polar interaction. For a sufficiently strong ferromagnetic interaction, we observe the emergence of a
fully asymmetric vortex-bright soliton as the ground state. We also numerically investigate moving solitons. The
present mean-field model is not Galilean invariant, and we use a Galilean-transformed mean-field model for
generating the moving solitons.
