Lucia, AngeloPérez García, DavidPérez Hernández, Antonio2026-02-202026-02-202023-11-28Lucia A, Pérez-García D, Pérez-Hernández A. Thermalization in Kitaev’s quantum double models via tensor network techniques. Forum of Mathematics, Sigma. 2023;11:e107. doi:10.1017/fms.2023.98https://doi.org/10.1017/fms.2023.98https://hdl.handle.net/20.500.14468/31877The registered version of this article, first published in “Forum of Mathematics, Sigma, vol 11, 2023", is available online at the publisher's website: Cambridge Universirty Press, https://doi.org/10.1017/fms.2023.98La versión registrada de este artículo, publicado por primera vez en “Forum of Mathematics, Sigma, vol 11, 2023", está disponible en línea en el sitio web del editor: Cambridge Universirty Press, https://doi.org/10.1017/fms.2023.98We show that every ergodic Davies generator associated to any 2D Kitaev’s quantum double model has a nonvanishing spectral gap in the thermodynamic limit. This validates rigorously the extended belief that those models are useless as self-correcting quantum memories, even in the non-abelian case. The proof uses recent ideas and results regarding the characterization of the spectral gap for parent Hamiltonians associated to Projected Entangled Pair States in terms of a bulk-boundary correspondence.eninfo:eu-repo/semantics/openAccess12 Matemáticasartículo2050-5094