2026-06-07T23:45:05Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/968802025-09-18T15:42:18Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Moon, Alvin
author
Young, Amanda
author
Lucia, Angelo
2024-01-31T08:49:07Z
2024-01-31T08:49:07Z
2023
Lucia A, Moon A, Young A (2024) Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model. Ann Henri Poincaré 25(8):3603–3648. https://doi.org/10.1007/s00023-023-01398-8
1424-0637
10.1007/s00023-023-01398-8
https://hdl.handle.net/20.500.14352/96880
https://doi.org/10.1007/s00023-023-01398-8
https://link.springer.com/article/10.1007/s00023-023-01398-8
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.
eng
Attribution 4.0 International
Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
journal article
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15e665e8c3bdb53b2b6f01559f71dcb6
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application/pdf
lucia_angelo_stability.pdf