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    Decoherence-free subspaces in the noisy dynamics of discrete-step quantum walks in a photonic lattice

    Rajesh Asapanna1, Clément Hainaut1, Alberto Amo1,*, and Álvaro Gómez-León2,†

    • *Contact author: alberto.amo-garcia@univ-lille.fr
    • †Contact author: a.gomez.leon@csic.es

    Phys. Rev. A 113, 053505 – Published 4 May, 2026

    DOI: https://doi.org/10.1103/dxjw-bmng

    Abstract

    We study the noisy dynamics of periodically driven, discrete-step quantum walks in a one-dimensional photonic lattice. We find that in the bulk, temporal noise that is constant within a Floquet period leads to decoherence-free momentum subspaces, whereas fully random noise destroys coherence in a few time steps. When considering topological edge states, we observe decoherence no matter the type of temporal noise. To explain these results, we derive a nonperturbative master equation to describe the system's dynamics. We experimentally confirm our findings in a time multiplexed photonic lattice implemented in a double-fiber ring setup subject to laser pulse input states, in which we engineer different types of temporal noise.

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