Decay routes of Monopole Textures in spin-1 and spin-2 condensates.*

The dynamical evolution of spin-1 and spin-2 Bose-Einstein condensates provides a novel way to understand topological phenomena in macroscopic quantum systems. We determine dynamical decaying routes of imprinted monopole defects within the polar phase (spin-1) and uniaxial nematic phase (spin-2). By numerically solving Gross-Pitaevskii equations under experimental conditions, we find that the monopole decay into a robust
vortex ring structure and low-energy excitations. In particular spin-1 condensates shows the presence of an `Alice ring` in early stages of the decay process. Finally, we conclude that studying the decay mechanism of non-trivial spin textures is an intriguing test of the underlying symmetry of spin Bose-Einstein condensates.