# Topological pumping of quantum correlations

## TL;DR

This paper extends topological pumping to quantum correlations, demonstrating protocols for correlated states using dualities, and shows that entanglement and robustness can be manipulated through topological processes.

## Contribution

It introduces a method to achieve topological pumping of quantum correlations by mapping correlated states to uncorrelated ones using dualities.

## Key findings

- Topological pumping of kinks and cluster-like excitations demonstrated.
- Entanglement is strongly modified during the pumping process.
- Interactions enhance robustness against disorder.

## Abstract

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 non-local transformations that preserve the topological properties of the system. By using them, we demonstrate that topological pumping of kinks and cluster-like 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 work paves the way to explore topological pumping beyond the notion of particles and opens a new avenue to investigate the relation between correlations and topology.