Creation and Manipulation of Anyons in the Kitaev Model

Abstract

We analyze the effect of local spin operators in the Kitaev model on the honeycomb lattice. We show, in perturbation around the isolated-dimer limit, that they create Abelian anyons together with fermionic excitations which are likely to play a role in experiments. We derive the explicit form of the operators creating and moving Abelian anyons without creating fermions and show that it involves multi-spin operations. Finally, the important experimental constraints stemming from our results are discussed.

4 pages, 3 figures, published version

References in corpus (8)

• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Exact results for spin dynamics and fractionization in the Kitaev Model
• An exact chiral spin liquid with non-Abelian anyons
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Emergent Fermions and Anyons in the Kitaev Model
• Anyonic Braiding in Optical Lattices
• The Wavefunction of an Anyon

Cited by in corpus (22)

• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• Anyonic interferometry and protected memories in atomic spin lattices
• Simulations of quantum double models
• A $\Gamma$-matrix generalization of the Kitaev model
• Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
• Three-dimensional topological phase on the diamond lattice
• Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
• A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
• Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
• Implementing topological quantum manipulation with superconducting circuits
• Reduced fidelity in Kitaev honeycomb model
• Quantum robustness and phase transitions of the 3D Toric Code in a field
• Zero energy and chiral edge modes in a p-wave magnetic spin model
• Statistical properties of linear Majorana fermions
• Majorana correlations in the Kitaev model with ordered-flux structures
• Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model
• Truncation errors in self-similar continuous unitary transformations
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model
• An anyon model in a toric honeycomb lattice
• Vortex creation and control in the Kitaev spin liquid by local bond modulations