Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices

Details Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices

2007-07-30

arxiv.org/abs/0707.4435v2

Phys. Rev. A 77, 023612 (2008)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.77.023612

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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