On Freedman's lattice models for topological phases
Mathematical Physics
2007-05-23 v1 Geometric Topology
math.MP
Abstract
Freedman proposes a family of Hamiltonians which define quantum loop gas models on any celluated compact surface. We study the simplest nontrivial cases: celluations of the torus. Our numerical data support Freedman's conjecture, but the conjectured space of ground states does not come out in full.
Cite
@article{arxiv.math-ph/0303018,
title = {On Freedman's lattice models for topological phases},
author = {James Brink and Zhenghan Wang},
journal= {arXiv preprint arXiv:math-ph/0303018},
year = {2007}
}