Material properties in open engineered systems

We are interested in the interplay between topology, (quasi-)disorder, interaction, and parametric driving in engineered driven-dissipative photonic crystals and ultracold-atomic systems. Conjoining any pair of the above ingredients leads to very active fields of research, such as, topological light, Floquet topological insulators, topological quasicrystals, and many-body localization. Highlights of our contribution to this emerging field include illustrating a deep connection between quasi-periodic materials and topological pumps, which was experimentally demonstrated in photonic waveguide arrays and cold atoms in optical superlattices.