  Topological pumping of ultracold atomic gases has recently been demonstrated
in two experiments (Nat. Phys. 12, 296; 12, 350 (2016)). Here we study the
topological pumping of a single magnon in a dynamically controlled
spin-dependent optical superlattice. When the interaction between atoms is
strong, this system supports a dynamical version of topological magnon
insulator phase. By initially putting a single magnon in the superlattice and
slowly varying the dynamical controlled parameter over one period, the shift of
the magnon density center is quantized and equal to the topological Chern
number. Moreover, we also find that the direction of this quantized shift is
entanglement-dependent. Our result provides a route for realizing topological
pumping of quasiparticles in strongly correlated ultracold atomic system and
for studying the interplay between topological pumping and quantum
entanglement.
