Modified logarithmic Sobolev inequalities hold for Davies semigroups in 2D Abelian quantum double models at positive temperatures via a Dobrushin-Shlosman condition and verified strong martingale property for conditional expectations.
Frigerio, Stationary states of quantum dynamical semigroups , Commun
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Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
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