  Topological Thouless pumping and Aharonov-Bohm effect are both fundamental
effects enabled by the topological properties of the system. Here, we study
both effects together: topological pumping of interacting particles through
Aharonov-Bohm rings. This system can prepare highly entangled many-particle
states, transport them via topological pumping and interfere them, revealing a
fractional flux quantum. The type of the generated state is revealed by
non-trivial Aharonov-Bohm interference patterns that could be used for quantum
sensing. The reflections induced by the interference result from transitions
between topological bands. Specific bands allow transport with a band gap
scaling as the square-root of the particle number. Our system paves a new way
for a combined system of state preparation and topological protected transport.

Quantum Physics;Mesoscale and Nanoscale Physics;Quantum Gases