Interacting Anyonic Fermions in a Two-Body Color Code Model

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2009},
            month = {jan},
            note = {PIRSA:09010008 see, \url{https://scivideos.org/pirsa/09010008}}
          }
          

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.