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A statistical mechanics view on Kitaev's proposal for quantum memories
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We compute rigorously the ground and equilibrium states for Kitaev's model in 2D, both the finite and infinite version, using an analogy with the 1D Ising ferromagnet. Next, we investigate the structure of the reduced dynamics in the presence of thermal baths in the Markovian regime. Special attention is paid to the dynamics of the topological freedoms which have been proposed for storing quantum information.
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Holography for bulk-boundary local topological order
For topological boundaries in Levin-Wen and Walker-Wang models, the boundary algebra's DHR bimodule category recovers the boundary topological order, and for Walker-Wang it is the enriched center Z_B(X).
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