High Efficiency Topological Pumping with Discrete Supersymmetry Transformations

TL;DR

This paper introduces a high-fidelity, adiabatic method leveraging supersymmetry transformations to efficiently prepare and pump topological modes in discrete systems, demonstrated in optical waveguides with high fidelity.

Contribution

It presents a novel approach using supersymmetry to adiabatically connect superpartner structures for topological mode preparation in discrete systems.

Findings

Achieved fidelities above 0.99 in topological state pumping

Demonstrated method in optical waveguide arrays

Effective for a wide range of coupling strengths

Abstract

Making use of the isospectrality of Supersymmetry transformations, we propose a general and high-fidelity method to prepare gapped topological modes in discrete systems from a single-site excitation. The method consists of adiabatically connecting two superpartner structures, deforming the input state into the desired mode. We demonstrate the method by pumping topological states of the Su-Schrieffer-Heeger model in an optical waveguide array, where the adiabatic deformation is performed along the propagation direction. We obtain fidelities above $F=0.99$ for a wide range of coupling strengths when pumping edge and interface states.