Alexis Drouot (University of Washington)
Monday, May 22, 2023 - 2:30pm to 3:30pm
ECE 026
Motivated by simple lattice models of topological insulators, I will present an intriguing investigation of a 2x2 semiclassical Dirac equation. Instead of evolving according to standard semiclassical principles, the solutions split in two parts, one that immediately disperses, and one that propagates along a seemingly novel quantum trajectory. This observation is consistent with the bulk-edge correspondence, a principle that describes coarse aspects of transport in topological insulators. I will finally illustrate the results with various numerical simulations. Joint work with Bal, Becker, Fermanian-Kammerer, Lu and Watson.