Stat-mech models with symmetries capture how proliferation of two non-Abelian anyons in D4 topological order parasitically condenses a shared Abelian anyon, destroying topological order while the trivial phase remembers which anyons condensed.
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Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence
Stat-mech models with symmetries capture how proliferation of two non-Abelian anyons in D4 topological order parasitically condenses a shared Abelian anyon, destroying topological order while the trivial phase remembers which anyons condensed.