  By means of time-dependent density matrix renormalization group calculations
we study topological quantum pumping in a strongly interacting system. The
system under consideration is described by the Hamiltonian of a one-dimensional
extended Bose-Hubbard model in the presence of a correlated hopping which
breaks lattice inversion symmetry. This model has been predicted to support
topological pumping [E. Berg, M. Levin, and E. Altman, Phys. Rev. Lett. 106,
110405 (2011)]. The pumped charge is quantized and of topological nature. We
provide a detailed analysis of the finite-size-scaling behavior of the pumped
charge and its deviations from the quantized value. Furthermore we also analyze
the non-adiabatic corrections due to the finite frequency of the modulation. We
consider two configurations: a closed ring where the time-dependence of the
parameter induces a circulating current, and a finite open-ended chain where
particles are dragged from one edge to the opposite edge, due to the pumping
mechanism induced by the bulk.
