# Topological pumping of a single magnon in a one-dimensional spin-dependent optical superlattice

## TL;DR

This paper demonstrates topological pumping of a single magnon in a spin-dependent optical superlattice, revealing quantized shifts linked to topological invariants and entanglement effects, advancing quasiparticle control in ultracold systems.

## Contribution

It introduces a method for topological magnon pumping in strongly correlated ultracold atoms, highlighting entanglement-dependent dynamics and potential for quasiparticle manipulation.

## Key findings

- Quantized magnon density center shift equals the Chern number.
- Direction of shift depends on quantum entanglement.
- Supports a dynamical topological magnon insulator phase.

## Abstract

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.