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Title:
Robustness of Topological Order by way of Stability of Superselection Sectors
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Abstract:
Kitaev’s quantum double models provide a rich class of examples of two-dimensional lattice systems with topological order in the ground states and a spectrum described by anyonic elementary excitations. The infinite volume ground states of the abelian quantum double models come in a number of equivalence classes called superselection sectors. We prove that the superselection structure is stable under uniformly small perturbations of the quantum double Hamiltonians.
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