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Strong zero modes in integrable spin-S chains

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arxiv 2512.07742 v1 pith:VNCUMAWT submitted 2025-12-08 cond-mat.stat-mech math-phmath.MPquant-ph

Strong zero modes in integrable spin-S chains

classification cond-mat.stat-mech math-phmath.MPquant-ph
keywords chainsintegrableboundaryeszmlocalitypropertiesspin-sstates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive exact strong zero mode (ESZM) operators for integrable spin-S chains with open boundary conditions and a boundary field. Their locality properties are generally weaker than in the previously known cases, but they still imply infinite coherence times in the vicinity of the edges. We explain how such integrable chains possess multiple ground states describing a first-order quantum phase transition, and that the odd number of such states for integer S makes the weaker locality properties necessary. We make contact with more traditional approaches by showing how the ESZM for S=1/2 acts on energy eigenstates given by solutions of the Bethe equations.

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Cited by 2 Pith papers

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  1. Exact strong zero modes are generic in integrable spin systems with large anisotropy

    quant-ph 2026-05 unverdicted novelty 7.0

    Exact strong zero modes arise generically in integrable spin systems with large anisotropy from quasi-periodicity of the R-matrix and tracelessness of the K-matrix.

  2. Exact strong zero modes are generic in integrable spin systems with large anisotropy

    quant-ph 2026-05 unverdicted novelty 7.0

    Exact strong zero modes arise generically in integrable anisotropic spin models from quasi-periodicity of R-matrices and tracelessness of K-matrices, unifying known cases and predicting new ones.