Numerical Investigation of Vortex Formation in Bose-Einstein Condensates

Explore the fascinating world of Bose-Einstein condensates and their vortex patterns in this 36-minute lecture by Anna Persson from the Hausdorff Center for Mathematics. Delve into the unique properties of this state of matter, where Bosons cooled to ultra-low temperatures behave as a single "macro particle" exhibiting macroscopic quantum phenomena. Learn about superfluidity and the formation of vortex patterns in rotating superfluids. Discover the challenges of numerically investigating these vortex patterns using classical finite elements, including the importance of mesh size in capturing accurate vortex behavior. Gain insights into the research aimed at identifying indicators for estimating the threshold mesh size required for reliable approximations, particularly as rotational speed increases and more vortices form.