MCQST2021 | Thermalization in Kitaev's quantum double models (...) (David Pérez Garcia)

Thermalization in Kitaev's quantum double models via Tensor Network techniques
Speaker: David Pérez García | Universidad Complutense de Madrid

Abstract
We will show that the Davies generator associated to any 2D Kitaev's quantum double model has a non-vanishing 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.

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