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arXiv · 2508.05403

Quantum many-body scarring from Kramers-Wannier duality

Weslei B. Fontana·Fabrizio G. Oliviero·Yi-Ping Huang
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Abstract

Kramers-Wannier duality, a hallmark of the Ising model, has recently gained renewed interest through its reinterpretation as a non-invertible 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 non-invertible 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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Weslei B. Fontana, Fabrizio G. Oliviero, Yi-Ping Huang. 2025-08-07. Quantum many-body scarring from Kramers-Wannier duality. https://doi.org/10.1103/ny73-r1ss

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