Topological insulators in optical lattices and their tomography
Band insulators constitute a fascinating form of quantum matter. Their very existence relies on band structure and quantum statistics, and the geometric phase inherent in their wave function gives rise to, e.g., a quantized Hall conductance (topological insulator) or quantized matter transport in adiabatic cycles (topological charge pumping). After an introduction, I will compare different schemes for the realization of topological insulators in optical lattices that are based on periodic driving. In the second part I will then present a method for the complete tomography of (topological) band insulators in optical lattices with two sublattice states.
Host: Brandon Anderson