We studied the evolution of vortex solitons in two-component coupled Bose-Einstein condensates trapped in a harmonic potential. Using a two-dimensional coupled Gross-Pitaevskii equation model and a variational method, we theoretically derived the vortex soliton solution. Under an appropriate parametric setting, the derived vortex soliton radius was found to oscillate periodically. The derived quasi-stable states with typical nonlinear features are pictorially demonstrated and can be used to guide relevant experimental observations of vortex soliton phenomena in coupled ultracold atomic systems.
Wang, Y., Yang, Y., He, S., & Wang, W. (2017). Dynamic evolution of vortex solitons for coupled Bose-Einstein condensates in harmonic potential trap. AIP Advances, 7(10). https://doi.org/10.1063/1.5001157