Floquet theory has become a hot topic in condensed matter physics in recent years. It is used to study periodically driven systems which might exhibit exotic properties which are absent in equilibrium cases. In this talk, I will give a general introduction to Floquet's theorem which is the most important tool used to study such systems. As this is a tutorial, I will have multiple examples demonstrating the power of Floquet's theorem. I will also introduce Magnus expansion which is a powerful method to do perturbation theory in time-dependent systems going beyond Floquet theory. Finally, I will go over some examples of non-quantum (classical) photonic systems which nevertheless have robust edge states, a hallmark of topological insulators.
Note: this event will be hybrid. The live talk occurring in Loomis 276 will be simultaneously broadcast via Zoom. The Zoom link will be sent to the Graduate Student and PDRA mailing lists. If you are not on one of those lists and are interested in attending, please email Cat Kengle at ckengle2@illinois.edu for the link.
