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    We present a high-fidelity method to create topological modes in discrete systems using Supersymmetry transformations. This technique efficiently prepares gapped topological states from single-site excitations with over 0.99 fidelity.

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    Area of Science:

    • Topological physics
    • Quantum mechanics
    • Condensed matter physics

    Background:

    • Topological modes offer robust quantum states with potential applications in quantum computing.
    • Preparing these modes in discrete systems often requires complex experimental setups.
    • Supersymmetry (SUSY) transformations provide a theoretical framework for relating distinct physical systems.

    Purpose of the Study:

    • To develop a general and high-fidelity method for preparing gapped topological modes.
    • To utilize the isospectrality of Supersymmetry transformations for mode preparation.
    • To demonstrate the method in a practical experimental setting.

    Main Methods:

    • Adiabatically connecting two superpartner structures.
    • Deforming an input state into a desired topological mode.
    • Implementing the method in an optical waveguide array using the Su-Schrieffer-Heeger (SSH) model.

    Main Results:

    • Achieved fidelities above 0.99 for preparing topological states.
    • Demonstrated the method's effectiveness across a wide range of coupling strengths.
    • Successfully pumped both edge and interface topological states.

    Conclusions:

    • The proposed method offers a robust and efficient way to generate gapped topological modes.
    • The technique leverages Supersymmetry for high-fidelity state preparation in discrete systems.
    • This work paves the way for advanced applications of topological states in photonic and quantum systems.