Anyons are not energy eigenspaces of quantum double Hamiltonians

@inproceedings{Kmr2017AnyonsAN,
  title={Anyons are not energy eigenspaces of quantum double Hamiltonians},
  author={Anna K{\'o}m{\'a}r and Olivier Landon-Cardinal},
  year={2017}
}
Kitaev’s quantum double models, including the toric code, are canonical examples of quantum topological models on a 2D spin lattice. Their Hamiltonian defines the groundspace by imposing an energy penalty to any nontrivial flux or charge, but does not distinguish among those. We generalize this construction by introducing a novel family of Hamiltonians made… CONTINUE READING