Resonant edge-state switching across topological bulk bands

We propose a physical mechanism allowing topological excitations with the same Bloch momentum belonging to distinct gaps to be resonant switched. This offers an opportunity to observe both intra-gap and inter-gap resonant edge-state switching. Increasing modulation depth significantly accelerates the resonant switching, while frequency de-tuning inhibits the switching. However, for the same set of parameters, the inter-gap conversion is always faster and more efficient than the intra-gap conversion. Furthermore, weak nonlinearity nearly completely hinders intra-gap switching, but it has almost no effect on inter-gap switching. This fact indicates that inter-gap resonant edge-state switching is more applicable for the nonlinear polaritons system. Additionally, we found that the dependence of switching time on the Bloch momentum qualitatively differed for these two different types of resonant edge-state switching. The results can be applied to a Bose Einstein condensate system to realize cold-atom resonant edge-state switching.