Uniqueness of Landau Levels and Their Analogs with Higher Chern Numbers

Watch a physics seminar from Harvard CMSA's Topological Quantum Matter series where Bruno Mera from Instituto Superior Tecnico explores the unique properties of Lowest Landau level wavefunctions. Delve into the mathematical proof demonstrating that these wavefunctions, which describe charged particles in two dimensions under uniform magnetic fields, are the only possible states with unit Chern number exhibiting specific holomorphic and translational properties in both real and momentum spaces. Learn how the Stone-von Neumann theorem supports this uniqueness proof and discover the extension of these findings to analogs with higher Chern numbers, complete with their mathematical expressions.