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Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model

Authors :
Moon, Alvin
Young, Amanda
Lucia, Angelo
Moon, Alvin
Young, Amanda
Lucia, Angelo
Publication Year :
2024

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.<br />EU Horizon 2020<br />MCIN/AEI/10.13039/501100011033<br />ESF Investing in your future<br />Comunidad de Madrid<br />DFG<br />Depto. de Análisis Matemático y Matemática Aplicada<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 1424-0661, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1429626751
Document Type :
Electronic Resource