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Supercharge optical arrays.

Bikashkali Midya, Wiktor Walasik, Natalia M Litchinitser

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    Summary
    This summary is machine-generated.

    We introduce supercharge optical arrays, creating a protected zero-energy state using supersymmetry transformations. This mid-gap zero mode enables robust light dynamics in discrete optical systems.

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    Area of Science:

    • * Quantum physics
    • * Optical engineering
    • * Condensed matter physics

    Background:

    • * Supercharge optical arrays are synthesized using supersymmetric charge operators.
    • * Mathematical supersymmetry transformations can create a zero-energy physical state below the ground state of a super-partner array.

    Purpose of the Study:

    • * To introduce the concept and synthesis of supercharge optical arrays.
    • * To demonstrate the creation and protection of a mid-gap zero-energy mode.
    • * To explore practical applications in designing discrete optical systems.

    Main Methods:

    • * Application of mathematical supersymmetry transformations to arbitrary arrays.
    • * Analysis of the square-root spectral relationship between supercharge and super-Hamiltonian arrays.
    • * Investigation of chiral symmetry for zero mode protection.

    Main Results:

    • * A zero-energy physical state is systematically created below the ground state of the super-partner array.
    • * The zero mode is pinned deep in the mid-gap of the supercharge array.
    • * The zero mode is protected due to the inherent chiral symmetry of the supercharge array.

    Conclusions:

    • * Supercharge arrays offer a method for designing discrete optical systems.
    • * The mid-gap zero mode facilitates robust light dynamics in spatial or temporal domains.
    • * Potential applications include waveguide and coupled resonator systems.