Adiabatic pumping of topological corner states by coherent tunneling in a 2D SSH model

TL;DR

This paper introduces an adiabatic pumping scheme for transferring topological corner states in a 2D SSH model, leveraging coherent tunneling and a modular lattice architecture for improved fidelity and efficiency.

Contribution

It presents a novel adiabatic pumping protocol using a modular lattice to transfer topological states with higher fidelity than traditional methods.

Findings

The protocol achieves high transfer fidelity.

It outperforms sequential Thouless pumping.

The approach is robust and efficient.

Abstract

The active manipulation of topologically protected states represents a pivotal frontier for quantum technologies, offering a unique confluence of topological robustness and precise quantum control. We propose an adiabatic pumping scheme for the long-range transfer of topological corner states in a two-dimensional Su-Schrieffer-Heeger model. The protocol utilizes a modular lattice architecture composed of four topologically distinct subblocks, enabling the modulation of a topological dark state by precise tuning of lattice couplings. This approach is based on coherent tunneling by adiabatic passage among topological corner and interface states. We establish a multi-level model for the adiabatic pumping that provides an accurate description of the underlying mechanism. In comparison with a sequential two-stage Thouless pumping, our protocol offers superior performance in both transfer fidelity and efficiency.