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 about the ground states of the Hamiltonians.
PACS: 71.10.-w; 71.35.-y
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Brink, J., Wang, Z. On Freedman's Lattice Models for Topological Phases. Quantum Information Processing 2, 81–96 (2003). https://doi.org/10.1023/A:1025883100137
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DOI: https://doi.org/10.1023/A:1025883100137