Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model

Angelo Lucia; Alvin Moon; Amanda Young

doi:10.1007/s00023-023-01398-8

Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model

Angelo Lucia, Alvin Moon, Amanda Young

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We use cluster expansion methods to establish local the indistiguishability of the finite volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at least 5. Our estimates imply that the model satisfies local topological quantum order, and so, the spectral gap above the ground state is stable against local perturbations.

Original language	English (US)
Pages (from-to)	3603-3648
Number of pages	46
Journal	Annales Henri Poincare
Volume	25
Issue number	8
DOIs	https://doi.org/10.1007/s00023-023-01398-8
State	Published - Aug 2024

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Nuclear and High Energy Physics
Mathematical Physics

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10.1007/s00023-023-01398-8

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abstract = "We use cluster expansion methods to establish local the indistiguishability of the finite volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at least 5. Our estimates imply that the model satisfies local topological quantum order, and so, the spectral gap above the ground state is stable against local perturbations.",

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AU - Moon, Alvin

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AB - We use cluster expansion methods to establish local the indistiguishability of the finite volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at least 5. Our estimates imply that the model satisfies local topological quantum order, and so, the spectral gap above the ground state is stable against local perturbations.

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Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model

Abstract

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