High Efficiency Topological Pumping with Discrete Supersymmetry Transformations

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.

Accepted in Optics Express

References in corpus (7)

• Topological Photonics
• Topological Acoustics
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• SUSY-inspired one-dimensional transformation optics
• Topologically protected localised states in spin chains
• Observation of supersymmetric scattering in photonic lattices
• Supersymmetry-enhanced Stark-Chirped Rapid-Adiabatic-Passage in multimode optical waveguides

Cited by in corpus (3)

• Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations
• Optical ladder operators in the Glauber-Fock oscillator array
• Mode pumping in photonic lattices using a single tailored auxiliary waveguide