  We theoretically investigate a Thouless pumping scheme in the 1D topological
Su-Schrieffer-Heeger (SSH) model for single and multiple band-gaps systems when
implemented in a discrete nematic liquid crystal arrangement. For an
electrically controlled SSH waveguide array, we numerically demonstrate
edge-to-edge light transport at low power levels. On the other hand, at higher
powers, the transport is frustrated by light-induced nonlinear defect states,
giving rise to robust all-optical switching.
