Vortex dynamics and skyrmions in four to six dimensions: Coherence vortices in Bose-Einstein condensates

I point out how coherence vortices, i.e., topological defects in a correlation function, could help explore new physics if they are created in matter waves. Vortex dynamics could be studied in up to six dimensions, and spin topological defects unseen in lower dimensions could be created. A rudimentary proof-of-principle experiment is sketched and simulated, in which three Bose-Einstein condensates are used to create and detect coherence vortices.