Topological pumping of quantum correlations

Topological pumping and duality transformations are paradigmatic concepts in condensed matter and statistical mechanics. In this paper, we extend the concept of topological pumping of particles to topological pumping of quantum correlations. We propose a scheme to find pumping protocols for highly correlated states by mapping them to uncorrelated ones. We show that one way to achieve this is to use dualities, because they are nonlocal transformations that preserve the topological properties of the system. By using them, we demonstrate that topological pumping of kinks and clusterlike excitations can be realized. We find that the entanglement of these highly correlated excitations is strongly modified during the pumping process and the interactions enhance the robustness against disorder. Our paper paves the way to explore topological pumping beyond the notion of particles and opens an avenue to investigate the relation between correlations and topology.