The Wavefunction of an Anyon
arXiv:quant-ph/0605068 · doi:10.1016/j.aop.2006.05.007
Abstract
We consider a two-dimensional spin system in a honeycomb lattice configuration that exhibits anyonic and fermionic excitations [Kitaev, cond-mat/0506438]. The exact spectrum that corresponds to the translationally invariant case of a vortex-lattice is derived from which the energy of a single pair of vortices can be estimated. The anyonic properties of the vortices are demonstrated and their generation and transportation manipulations are explicitly given. A simple interference experiment with six spins is proposed that can reveal the anyonic statistics of this model.
8 pages, 5 figures
References in corpus (2)
Cited by in corpus (13)
- Non-Abelian Anyons and Topological Quantum Computation
- Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
- Anyonic interferometry and protected memories in atomic spin lattices
- Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
- Creation and Manipulation of Anyons in the Kitaev Model
- Why should anyone care about computing with anyons?
- Minimum instances of topological matter in an optical plaquette
- A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
- Fidelity in topological quantum phases of matter
- Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
- Non-Abelian statistics as a Berry phase in exactly solvable models
- The Zero Temperature Phase Diagram of the Kitaev Model
- Quasi-particle propagation in quantum Hall systems