Anyons from fermions with conventional two-body interactions

Details Anyons from fermions with conventional two-body interactions Anyons from fermions with conventional two-body interactions

2008-06-10

arxiv.org/abs/0806.1688v3

J. Phys. A: Math. Theor. 43, 105306 (2010)

Physics

Condensed Matter

Other Condensed Matter

10 pages,3 figures, the contents of mapping to honeycomb lattice are removed and will be published separately

Scientific paper

Emergent anyons are the key elements of the topological quantum computation and topological quantum memory. We study a two-component fermion model with conventional two-body interaction in an open boundary condition and show that several subsets in the low-lying excitations obey the same fusion rules as those of the toric code model. Those string-like non-local excitations in a given subset obey mutual semionic statistics. We show how to peel off one of such subset from other degenerate subsets and manipulate anyons in cold dipolar Fermi atoms or cold dipolar fermionic heteronuclear molecules in optical lattices by means of the established techniques.

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