Topological Phases and Interaction Effects
Prof. Dr. Karyn Le Hur
Topological order, topological insulators and topological superconductors are currently in the center of interest of quantum physics, partly because of their potential application in quantum information and spintronics. There is an on-going search for feasible realizations in- and outside of solid-state systems. Ultra-cold atoms in optical lattices and photons in artificial lattices provide promising alternatives. The strong interaction limit is also of actual interest with the realization of topological Mott phases, quantum spin liquids and fractional quantum Hall effect. From methodology point of view, we use analytical approaches combined with numerical methods and model Hamiltonians. We also develop novel probes to characterize these topological phases and address time-dependent Floquet perturbations which describe the light-matter coupling description.