  Particle-particle interaction provides a new degree of freedom to induce
novel topological phenomena. Here, we propose to use spatiotemporal modulation
of interaction to realize topological pumping without single-particle
counterpart. Because the modulation breaks time-reversal symmetry, the
multiparticle energy bands of bound states have none-zero Chern number, and
support topological bound edge states. In a Thouless pump, a bound state that
uniformly occupies a topological energy band can be shifted by integer unit
cells per cycle, consistent with the corresponding Chern number. We can also
realize topological pumping of bound edge state from one end to another. The
entanglement entropy between particles rapidly increases at transition points,
which is related to the spatial spread of a bounded pair. In addition, we
propose to realize hybridized pumping with fractional displacement per cycle by
adding an extra tilt potential to separate topological pumping of the bound
state and Bloch oscillations of single particle. Our work could trigger further
studies of correlated topological phenomena that do not have a single-particle
counterpart.
