48 citations · 112 across the 3 of their papers we have counts for
3 papers
cond-mat.mes-hall2009★ 38 cited
Non-Abelian statistics as a Berry phase in exactly solvable models
Ville Lahtinen, Jiannis K. Pachos
We demonstrate how to directly study non-Abelian statistics for a wide class of exactly solvable many-body quantum systems. By employing exact eigenstates to simulate the adiabatic…
cond-mat.mes-hall2008★ 48 cited
Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
G. Kells, A. T. Bolukbasi, V. Lahtinen +3
The classification of loop symmetries in Kitaev's honeycomb lattice model provides a natural framework to study the abelian topological degeneracy. We derive a perturbative low-ene…
cond-mat.stat-mech2008★ 26 cited
Non-abelian statistics from an abelian model
James R. Wootton, Ville Lahtinen, Zhenghan Wang +1
It is well known that the abelian anyonic model (toric code) can be realized on a highly entangled two-dimensional spin lattice, where the anyons are quasiparticles located a…