Topological frequency conversion in strongly driven quantum systems*

When a small quantum system is subject to multiple periodic drives, it may realize multidimensional topological phases. In my talk, I will explain how to make such constructions, and show how a spin-1/2 particle driven by two elliptically-polarized light beams could realize the Bernevig-Hughes-Zhang model of 2 topological insulators. The observable consequence of such a construction is quantized pumping of energy between the two drive sources. I will also show that the topological pumping quantization is not only robust against smooth temporal disorder, but even enforced by it.