Correlated topological pumping of interacting bosons assisted by Bloch oscillations

TL;DR

This paper investigates how interactions among bosons influence topological transport in a modulated optical lattice, revealing a dispersionless quantized transport mechanism assisted by Bloch oscillations that samples Berry curvature.

Contribution

It introduces a scheme that ensures quantized transport for interacting bosons beyond Wannier states, highlighting the role of Bloch oscillations in topological pumping with interactions.

Findings

Dispersionless quantized transport for Gaussian-like wave packets.

Bloch oscillations sample Berry curvature across the Brillouin zone.

Interactions enable topologically resonant tunneling.

Abstract

Thouless pumping, not only achieving quantized transport but also immune to moderate disorder, has attracted growing attention in both experiments and theories. Here, we explore how particle-particle interactions affect topological transport in a periodically-modulated and tilted optical lattice. Not limited to wannier states, our scheme ensures a dispersionless quantized transport even for initial Gaussian-like wave packets of interacting bosons which do not uniformly occupy a given band. This is because the tilting potential leads to Bloch oscillations uniformly sampling the Berry curvatures over the entire Brillouin zone. The interplay among on-site potential difference, tunneling rate and interactions contributes to the topological transport of bound and scattering states and the topologically resonant tunnelings. Our study deepens the understanding of correlation effects on topological states, and provides a feasible way for detecting topological properties in interacting systems.