  Adiabatic quantum pumping in one-dimensional lattices is extended by adding a
tilted potential to probe better topologically nontrivial bands. This extension
leads to almost perfectly quantized pumping for an arbitrary initial state
selected in a band of interest, including Bloch states. In this approach, the
time variable offers not only a synthetic dimension as in the case of the
Thouless pumping, but it assists also in the uniform sampling of all momenta
due to the Bloch oscillations induced by the tilt. The quantized drift of Bloch
oscillations is determined by a one-dimensional time integral of the Berry
curvature, being effectively an integer multiple of the topological Chern
number in the Thouless pumping. Our study offers a straightforward approach to
yield quantized pumping, and it is useful for probing topological phase
transitions.
