PIRSA:09010008 Scientific Series Quantum Information

DOI10.48660/09010008

Series: Perimeter Institute Quantum Discussions

Bombin, H. (2009). Interacting Anyonic Fermions in a Two-Body Color Code Model. Perimeter Institute. https://pirsa.org/09010008

Bombin, Hector. Interacting Anyonic Fermions in a Two-Body Color Code Model. Perimeter Institute, Jan. 21, 2009, https://pirsa.org/09010008 

@misc{ pirsa_PIRSA:09010008,
  doi = {10.48660/09010008},
  url = {https://pirsa.org/09010008},
  author = {Bombin, Hector},
  keywords = {Quantum Information},
  language = {en},
  title = {Interacting Anyonic Fermions in a Two-Body Color Code Model},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {jan},
  note = {PIRSA:09010008 see, \url{https://pirsa.org}}
}

Abstract

We introduce a two-body quantum Hamiltonian model of spin-1/2 on a 2D spatial lattice with exact topological degeneracy in all coupling regimes. There exists a gapped phase in which the low-energy sector reproduces an effective color code model. High energy excitations fall into three families of anyonic fermions that turn out to be strongly interacting. The model exhibits a Z_2xZ_2 gauge group symmetry and string-net integrals of motion, which are related to the existence of topological charges that are invisible to moving high-energy fermions.

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