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

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Standard

Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model. / Lucia, Angelo; Moon, Alvin; Young, Amanda.

I: Annales Henri Poincare, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Lucia, A, Moon, A & Young, A 2024, 'Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model', Annales Henri Poincare. https://doi.org/10.1007/s00023-023-01398-8

APA

Lucia, A., Moon, A., & Young, A. (2024). Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model. Annales Henri Poincare. https://doi.org/10.1007/s00023-023-01398-8

Vancouver

Lucia A, Moon A, Young A. Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model. Annales Henri Poincare. 2024. https://doi.org/10.1007/s00023-023-01398-8

Author

Lucia, Angelo ; Moon, Alvin ; Young, Amanda. / Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model. I: Annales Henri Poincare. 2024.

Bibtex

@article{51dea8ee05684775932c67a67ee20b5c,
title = "Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model",
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.",
author = "Angelo Lucia and Alvin Moon and Amanda Young",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2024",
doi = "10.1007/s00023-023-01398-8",
language = "English",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Springer Basel AG",

}

RIS

TY - JOUR

T1 - Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model

AU - Lucia, Angelo

AU - Moon, Alvin

AU - Young, Amanda

N1 - Publisher Copyright: © 2023, The Author(s).

PY - 2024

Y1 - 2024

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85180672300&partnerID=8YFLogxK

U2 - 10.1007/s00023-023-01398-8

DO - 10.1007/s00023-023-01398-8

M3 - Journal article

AN - SCOPUS:85180672300

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

ER -

ID: 379039986