Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices
Other Condensed Matter
2009-11-13 v2
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.
Keywords
Cite
@article{arxiv.0707.4435,
title = {Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices},
author = {V. W. Scarola and S. Das Sarma},
journal= {arXiv preprint arXiv:0707.4435},
year = {2009}
}