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    Quantum many-body scarring from Kramers-Wannier duality

    Weslei B. Fontana1, Fabrizio G. Oliviero1,2, and Yi-Ping Huang1,2,3,*

    • *Contact author: yphuang@phys.nthu.edu.tw

    Phys. Rev. B 113, 024307 – Published 14 January, 2026

    DOI: https://doi.org/10.1103/ny73-r1ss

    Abstract

    Kramers-Wannier duality, a hallmark of the Ising model, has recently gained renewed interest through its reinterpretation as a noninvertible symmetry with a state-level action. Using sequential quantum circuits (SQC), we argue that this duality governs the stability of quantum many-body scar (QMBS) states in a nonintegrable model, depending on whether the dual preserves the embedding conditions for scarring. This is supported by good agreement between first-order perturbation theory and numerics, which capture scar dynamics despite chaotic spectra. Our results establish noninvertible dualities as both a generative mechanism and a diagnostic tool for quantum many-body scarring, offering a generalized symmetry-based route to weak ergodicity breaking.

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