Quantum many-body scarring from Kramers-Wannier duality
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.
Keywords
Cite
@article{arxiv.2508.05403,
title = {Quantum many-body scarring from Kramers-Wannier duality},
author = {Weslei B. Fontana and Fabrizio G. Oliviero and Yi-Ping Huang},
journal= {arXiv preprint arXiv:2508.05403},
year = {2026}
}
Comments
12 pages, 7 figures. Comments are welcome