Minimum instances of topological matter in an optical plaquette
arXiv:0711.3796 · doi:10.1103/PhysRevA.77.023603
Abstract
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.
8 pages, 11 figures
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- Controlling and Detecting Spin Correlations of Ultracold Atoms in Optical lattices
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- Spin-dependent Optical Superlattice
- Preparation of Decoherence Free Cluster States with Optical Superlattices
- Quantum robustness and phase transitions of the 3D Toric Code in a field
- Minimal instances for toric code ground states
- Frustration, Area Law, and Interference in Quantum Spin Models
- Topological matter with collective encoding and Rydberg blockade
- Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms
- Realizing the strongly correlated -Mott state in a fermionic cold atom optical lattice
- An anyon model in a toric honeycomb lattice