Minimum instances of topological matter in an optical plaquette

Details Minimum instances of topological matter in an optical plaquette Minimum instances of topological matter in an optical plaquette

2007-11-23

arxiv.org/abs/0711.3796v1

Physics

Condensed Matter

Other Condensed Matter

8 pages, 11 figures

Scientific paper

10.1103/PhysRevA.77.023603

We propose experimental schemes to create and probe minimum forms of different topologically ordered states in a plaquette of an optical lattice: Resonating Valence Bond, Laughlin and string-net condensed states. We show how to create anyonic excitations on top of these liquids and detect their fractional statistics. In addition, we propose a way to design a plaquette ring-exchange interaction, the building block Hamiltonian of a lattice topological theory. Our preparation and detection schemes combine different techniques already demonstrated in experiments with atoms in optical superlattices.

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