Vortex interaction dynamics in trapped Bose-Einstein condensates

摘要: Motivated by recent experiments studying the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein condensates (BECs), we illustrate that such systems can be accurately described by ordinary differential equations (ODEs) incorporating the precession and interaction of vortices in harmonic traps. This is tackled in detail at ODE level, both for the simpler case equal charge vortices, and for more complicated (yet also experimentally relevant) opposite vortices. In former case, we identify as being chiefly quasi-periodic (although potentially periodic), while the latter, irregular may ensue when suitable external drive BEC cloud considered. Our analytical findings are corroborated numerical computations reduced system.