Local interactions and non-abelian quantum loop gases.
- Troyer M Theoretische Physik, Eidgenössische Technische Hochschule Zürich, 8093 Zürich, Switzerland.
- Trebst S
- Shtengel K
- Nayak C
- 2008-12-31
Published in:
- Physical review letters. - 2008
English
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 nonlocal interactions (or nontrivial inner products). Perturbing a local, gapless Hamiltonian with an anticipated "non-Abelian" ground-state wave function 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.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1103/PhysRevLett.101.230401
- PMID 19113527
- Persistent URL
- https://sonar.ch/global/documents/123687
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