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    Area of Science:

    • * Physics, specifically condensed matter physics and optics.
    • * Study of non-Hermitian systems and light transport phenomena.

    Background:

    • * Non-Hermitian lattices with asymmetric hopping exhibit robust unidirectional light flow.
    • * This unidirectional flow is a key characteristic of the non-Hermitian skin effect.
    • * Previous research focused on asymmetric hopping to achieve this effect.

    Purpose of the Study:

    • * To demonstrate that stochastic fluctuations can induce unidirectional light flow in lattices.
    • * To show that this effect is achievable even with symmetric hopping on average.
    • * To explore the phenomenon of stochastic funneling of light.

    Main Methods:

    • * Theoretical investigation of photonic transport in lattices with stochastic fluctuations.
    • * Analysis of systems with averaged symmetric hopping exhibiting non-Hermitian properties.
    • * Modeling of light propagation under the influence of random variations.

    Main Results:

    • * Stochastic fluctuations can induce a non-Hermitian skin effect in lattices with symmetric hopping.
    • * This fluctuation-induced effect leads to unidirectional transport of light.
    • * Demonstrated stochastic funneling of light towards an interface.

    Conclusions:

    • * Stochasticity provides an alternative mechanism to asymmetry for achieving non-Hermitian transport.
    • * The non-Hermitian skin effect can arise from random processes, not just deterministic asymmetry.
    • * Fluctuation-induced transport offers new possibilities for controlling light flow in optical systems.