Excitation Spectrum and Time Evolution of Bose-Einstein Condensates

Explore the fascinating world of Bose-Einstein condensates in this lecture from the Hausdorff Junior Trimester Program on Kinetic Theory. Delve into the study of N trapped bosons interacting through a potential with scattering length of order 1/N in the Gross-Pitaevskii regime. Discover recent tools used to describe time-evolution resulting from changes in external fields and to determine the low-energy excitation spectrum as N approaches infinity. Learn about collaborative research findings with C. Boccato, C. Brennecke, and S. Cenatiempo, as presented by Benjamin Schlein from the Hausdorff Center for Mathematics. Gain insights into advanced concepts in quantum physics and condensed matter theory during this hour-long exploration of cutting-edge research in Bose-Einstein condensates.