Interacting Anyonic Fermions in a Two-Body Color Code Model
APA
Bombin, H. (2009). Interacting Anyonic Fermions in a Two-Body Color Code Model. Perimeter Institute. https://pirsa.org/09010008
MLA
Bombin, Hector. Interacting Anyonic Fermions in a Two-Body Color Code Model. Perimeter Institute, Jan. 21, 2009, https://pirsa.org/09010008
BibTex
@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}} }
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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.