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Nonlinear higher-order polariton topological insulator.

Yiqi Zhang, Y V Kartashov, L Torner

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    |September 2, 2020
    PubMed
    Summary

    We demonstrate control over exciton-polariton corner states in a nonlinear topological insulator. These states are localized and tunable via pump energy, persisting even with perturbations.

    Area of Science:

    • Condensed Matter Physics
    • Nonlinear Optics
    • Topological Photonics

    Background:

    • Higher-order topological insulators exhibit unique boundary states protected by symmetry.
    • Exciton-polaritons in microcavities offer a platform for exploring nonlinear quantum phenomena.
    • Kagome lattices are known for their rich electronic and photonic band structures.

    Purpose of the Study:

    • To investigate the resonant response and bistability of exciton-polariton corner states.
    • To explore the role of nonlinearity and dispersion in localizing these states.
    • To understand the influence of pump energy and lattice symmetry on corner state formation.

    Main Methods:

    • Realization of a higher-order nonlinear topological insulator using a kagome arrangement of microcavity pillars.

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  • Resonant excitation of exciton-polariton states using a pump.
  • Analysis of state localization and energy characteristics under varying pump conditions and perturbations.

    • Main Results:

    • Exciton-polariton corner states are resonantly excited and stabilized by a balance of pump, losses, nonlinearity, and dispersion.
    • The localization of these nonlinear corner states is controllable by tuning the pump energy.
    • Corner states are energetically isolated from edge states and robust against perturbations in corner pillars.

    Conclusions:

    • The formation mechanism of corner states is linked to the symmetry of the truncated kagome array.
    • Nonlinear exciton-polariton corner states in higher-order topological insulators are tunable and robust.
    • This work provides insights into controlling localized states in engineered photonic systems.