Local interactions and non-Abelian quantum loop gases
| dc.creator | Troyer, Matthias | |
| dc.creator | Trebst, Simon | |
| dc.creator | Shtengel, Kirill | |
| dc.creator | Nayak, Chetan | |
| dc.date | 2008-05-14 | |
| dc.date.accessioned | 2026-07-07T13:07:02Z | |
| dc.date.available | 2026-07-07T13:07:02Z | |
| dc.description | Two-dimensional quantum loop gases are elementary examples of topological ground states with Abelian or non-Abelian anyonic excitations. While Abelian loop gases appear as ground states of local, gapped Hamiltonians such as the toric code, we show that gapped non-Abelian loop gases require non-local interactions (or non-trivial inner products). Perturbing a local, gapless Hamiltonian with an anticipated ``non-Abelian'' ground-state wavefunction immediately drives the system into the Abelian phase, as can be seen by measuring the Hausdorff dimension of loops. Local quantum critical behavior is found in a loop gas in which all equal-time correlations of local operators decay exponentially. | |
| dc.description | 4 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0805.2177 | |
| dc.identifier | http://arxiv.org/abs/0805.2177 | |
| dc.identifier | Phys. Rev. Lett. 101, 230401 (2008). | |
| dc.identifier | doi:10.1103/PhysRevLett.101.230401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227965 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Local interactions and non-Abelian quantum loop gases | |
| dc.type | text |