Dynamically Induced Topological Properties in Two-Dimensional Optical Lattices

Abstract

Topological properties of matter are one of hot topics in condensed matter physics. Recently, these concepts are extended to non-equilibrium systems, especially periodically driven systems. Here we study such non-equilibrium topological quantum phenomena in cold atomic systems in twodimensional optical lattices. First we show results on non-interacting atoms, and then focus on interaction effects on the non-equilibrium topological phases based on time-dependent Schrieffer-Wolfftype perturbation theory.