Topological charge pumping in spin-dependent superlattices with glide symmetry

TL;DR

This paper introduces a topological charge pumping process in a spin-dependent superlattice with glide symmetry, revealing novel topological features and phase transitions using ultracold atoms.

Contribution

It presents a new model demonstrating topological charge pumping protected by glide symmetry, with insights into non-Abelian Berry curvature and hybrid topological phenomena.

Findings

Protection of band touching points by glide symmetry

Observation of topological phase transition

Hybridization of spatial and temporal topological features

Abstract

Topological charge pumping represents an important quantum phenomenon that shows the fundamental connection to the topological properties of dynamical systems. Here, we introduce a pumping process in a spin-dependent double-well optical lattice with glide symmetry. In the dynamic process, the glide symmetry protects the band touching points and topological properties of the system are characterised by the non-Abelian Berry curvature. By engineering suitable form of interaction between different spin components, the model not only demonstrates topological phase transition, but also shows hybridisation between the spatial and temporal domain with novel topological features captured by the Wilson line along the synthetic directions. Our work provides a new model based on ultracold atoms towards the implementation of versatile topological matters and topological phenomena.