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Landau rainbow based on Floquet helical waveguide systems.

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    Area of Science:

    • Topological photonics
    • Condensed matter physics

    Background:

    • Topological rainbows spatially separate photonic states by frequency.
    • Landau levels are crucial for understanding topological bulk states and discovering new phenomena.
    • Landau rainbows, a type of topological rainbow, separate Landau mode frequencies spatially, offering potential for broadband photonic devices.

    Purpose of the Study:

    • To propose and demonstrate a Landau rainbow effect using the zero-order Landau level in Floquet helical waveguide systems.
    • To explore the potential applications of this novel Landau rainbow in photonic devices.

    Main Methods:

    • Inducing photonic Landau levels via a pseudo-magnetic field by engineering gradient effective coupling strength.
    • Utilizing the helical configuration of waveguides to break the degeneracy of zero-order Landau levels, leading to band tilting.
    • Observing the spatial separation of states in the zero-order Landau level due to distinct quasienergies.

    Main Results:

    • Successfully realized a Landau rainbow effect in Floquet helical waveguide systems.
    • Demonstrated that different frequencies of Landau modes are localized at distinct spatial positions.
    • Showcased the band tilting of zero-order Landau levels due to helical waveguide configuration.

    Conclusions:

    • The proposed Landau rainbow in Floquet helical waveguide systems offers a novel approach for robust photonic device design.
    • This platform enables new avenues for creating devices such as rainbow trapping devices, multifrequency dividers, and optical information storage systems.