Strong zero modes in integrable spin-S chains

Fuente: arXiv
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Autori principali: Essler, Fabian H. L., Fendley, Paul, Vernier, Eric
Natura: Preprint
Pubblicazione: 2025
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author Essler, Fabian H. L.
Fendley, Paul
Vernier, Eric
author_facet Essler, Fabian H. L.
Fendley, Paul
Vernier, Eric
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07742
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Strong zero modes in integrable spin-S chains
Essler, Fabian H. L.
Fendley, Paul
Vernier, Eric
Statistical Mechanics
Mathematical Physics
Quantum Physics
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.
title Strong zero modes in integrable spin-S chains
topic Statistical Mechanics
Mathematical Physics
Quantum Physics
url https://arxiv.org/abs/2512.07742