2026-06-08T02:38:25Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/968802025-09-18T15:42:18Zcom_20.500.14352_14col_20.500.14352_15

Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model Moon, Alvin Young, Amanda Lucia, Angelo 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. 2024-01-31T08:49:07Z 2024-01-31T08:49:07Z 2024-01-31T08:49:07Z 2023 journal article https://hdl.handle.net/20.500.14352/96880 1424-0637 10.1007/s00023-023-01398-8 eng info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113523GB-I00/ES/ANALISIS MATEMATICO Y TEORIA DE INFORMACION CUANTICA/ info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RYC2019-026475-I/ES/Quantum information and quantum statistical mechanics// 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 http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 International Springer Nature