Explore the fascinating world of caustics and branched flow in periodically and quasi-periodically driven systems in this 48-minute lecture by Duncan O'Dell. Delve into the complex interplay between quantum systems and time-dependent Hamiltonians, open quantum systems, and gauge theory of coupling between matter and radiation. Gain insights into cutting-edge topics such as terahertz and infrared driven quantum matter, shaken optical lattices and cold atoms, Floquet time crystals, and localization-delocalization physics in quasi-periodically driven systems. Learn about the dynamics of gauge theories and the importance of quantum simulation experiments in interpreting results where brute force numerical calculations fail. This lecture is part of a comprehensive program organized by the International Centre for Theoretical Sciences, bringing together experts from diverse fields to foster valuable interactions and advance our understanding of periodically and quasi-periodically driven complex systems. Read more