Fig. 1. Schematics of the soliton pumping mechanism and nonlinearity-induced pumping in ultracold mixtures.

a In a Thouless pump, the Wannier functions perform a quantized drift established by the Chern number of the corresponding band. b In a nonlinear setting, the motion of a soliton follows the quantized Wannier drift. c In a Bose-Bose atomic mixture, quantized pumping can be induced by interactions: a soliton of impurity atoms is dragged by the driven majority atoms, leading to interaction-induced topological transport.