Lukas Sieberer (University of Innsbruck)
Time-periodic Floquet drive is a powerful method to engineer quantum phases of matter, including fundamentally nonequilibrium states that cannot be realized in static Hamiltonian systems. A characteristic example is the anomalous Floquet topological insulator, which exhibits a unique topologically protected nonequilibrium transport phenomenon: nonadiabatic quantized charge pumping. We study the fate of this phenomenon in the presence of time-dependent noise, which breaks the protecting Floquet symmetry. Surprisingly, we find that the charge pumped per cycle remains quantized up to a finite noise amplitude. We trace this robustness of Floquet topology to an interplay between diffusion and Pauli blocking of the decay of chiral edge states.
Christopher I. Timms (Department of Physics, University of Texas at Dallas, Richardson, TX, USA ) Lukas Sieberer (University of Innsbruck) Michael H. Kolodrubetz (Department of Physics, University of Texas at Dallas, Richardson, TX, USA )