Vortex Dynamics in Bose-Einstein Condensates: Bifurcations, Chaotic Dynamics and Experimental Observations

In this talk, we will revisit the topic of N-vortices in Bose-Einstein condensates (BECs). We will review recent experiments including ones of remarkable symmetry-breaking phenomena in cases of co-rotating vortices, as well as explore states and configurations of counter-rotating vortices. Particle models of such systems will give rise to a considerable wealth of: (a) chaotic dynamics; (b) exotic states and bifurcation phenomena; (c) connections to classical polynomials (e.g. Hermite); (d) coarse graining features (for large N). We will briefly discuss (a)-(d) and provide some future perspectives.