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Emulating non-Abelian topological matter in cold-atom optical lattices

TitleEmulating non-Abelian topological matter in cold-atom optical lattices
Publication TypeJournal Article
Year of Publication2008
AuthorsV. W. Scarola, and S. Das Sarma
JournalPhys. Rev. A
Date Publishedfeb
Keywords2008, Single Fellow

Certain proposed extended Bose-Hubbard models may exhibit topologically ordered ground states with excitations obeying non-Abelian braid statistics. A sufficient tuning of Hubbard parameters could yield excitation braiding rules allowing implementation of a universal set of topologically protected quantum gates. We discuss potential difficulties in realizing a model with a proposed non-Abelian topologically ordered ground state using optical lattices containing bosonic dipoles. Our direct implementation scheme does not realize the necessary anisotropic hopping, anisotropic interactions, and low temperatures.