Quantum loop models and the non-abelian toric code

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dc.creatorFendley, Paul
dc.date2007-11-01
dc.date.accessioned2026-07-07T08:39:50Z
dc.date.available2026-07-07T08:39:50Z
dc.descriptionI define quantum loop models whose degrees of freedom are Ising spins on the square lattice as in the toric code, but where the excitations should have non-abelian statistics. The inner product is topological, allowing a direct implementation of the anyonic fusion matrix on the lattice. It also makes deconfined anyons possible for a variety of values of the weight per loop $d$ in the ground state. For d=\sqrt{2}, a gapped non-abelian topological phase can occur with only four-spin interactions.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0711.0014
dc.identifierhttp://arxiv.org/abs/0711.0014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141208
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.titleQuantum loop models and the non-abelian toric code
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