Fractional-charge vortex in a spinor Bose-Einstein condensate

Abstract

We classify all possible fractional charge vortices of charge less than unity in spin-1 and spin-2 polar and cyclic Bose-Einstein condensates (BECs) with zero magnetization. Statics and dynamics of these vortices in quasi-two-dimensional spinor BECs are studied employing accurate numerical solution and a Lagrange variational approximation. The results for density and collective-mode oscillation are illustrated using fractional-charge BEC vortex of ${}^{23}$Na and ${}^{87}$Rb atoms with realistic interaction and trapping potential parameters.

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• OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation
• $SO(2)$-induced breathing patterns in multi-component Bose-Einstein condensates
• Sinusoidal magnetic field induced topological excitations in a spin-orbit coupled spinor condensate
• Magnetization induced skyrmion dynamics of a spin-orbit-coupled spinor condensate under sinusoidally varying magnetic field