Effective Gaps for Time-Periodic Hamiltonians Modeling Floquet Materials

Explore the concept of Floquet materials and their energy transport properties in this seminar presented by Michael Weinstein from Columbia University. Delve into the analysis of parametrically forced Schrödinger equations governing Floquet media, with applications in quantum electronic transport and optical waveguide systems. Examine the role of quasi-energy spectra and effective gaps in characterizing energy transport in these time-periodic systems. Learn about the approximation of band-limited Dirac wave-packets and the transfer of quasi-energy gap information from effective Dirac dynamics to full Schrödinger dynamics. Gain insights into the physically relevant concept of effective quasi-energy gaps and their implications for tuning and measuring systems near Dirac points.

Seminar In the Analysis and Methods of PDE (SIAM PDE): Michael Weinstein