Correlated topological pumping of interacting bosons assisted by Bloch oscillations

Thouless pumping, not only achieving quantized transport but also immune to moderate disorder, has attracted growing attention in both experiments and theories. Here, we explore how particle-particle interactions affect topological transport in a periodically modulated and tilted optical lattice. Three characterized interaction effects are revealed: topological pumping of bound states, interaction blockade of scattering states, and topologically resonant tunnelings. Attributed to the tilting, we have found a linear scanning in the first Brillouin zone at each Bloch-oscillation period of multiparticle center-of-mass momentum. Not limited to multiparticle Wannier states, our scheme ensures a dispersionless quantized transport even for initial Gaussian-like wave packets of interacting bosons which do not uniformly occupy a given band. Our study deepens the understanding of correlation effects on topological states, and provides a feasible way for detecting topological properties in interacting systems.