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arXiv · 0707.4435

Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices

V. W. Scarola·S. Das Sarma
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Abstract

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.

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V. W. Scarola, S. Das Sarma. 2007-07-30. Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices. https://doi.org/10.1103/physreva.77.023612

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