Stability and dynamics across magnetic phases of vortex-bright type excitations in spinor Bose-Einstein condensates

The static properties, i.e., existence and stability, as well the quench-induced dynamics of vortex-bright type excitations in two-dimensional harmonically confined spin-1 Bose-Einstein condensates are investigated. Linearly stable vortex-bright-vortex bright-vortex-bright solutions arise both antiferromagnetic ferromagnetic spinor gases upon quadratic Zeeman energy shift variations. Their deformations across relevant transitions exposed discussed detail evincing also that emergent instabilities can lead to pattern formation. Spatial elongations, precessional motion spiraling nonlinear when finite temperatures crossing distinct phase boundaries, via quenching coefficient, unveiled. Spin-mixing processes triggered by quench lead, among others, changes waveform ensuing configurations. Our findings reveal an interplay between formation spin-mixing being accessible contemporary cold atom experiments.