Disentangling Entanglement Spectra of Fractional Quantum Hall States on Torus Geometries
arXiv:0911.5477 · doi:10.1103/PhysRevLett.104.156404
Abstract
We analyze the entanglement spectrum of Laughlin states on the torus and show that it is arranged in towers, each of which is generated by modes of two spatially separated chiral edges. This structure is present for all torus circumferences, which allows for a microscopic identification of the prominent features of the spectrum by perturbing around the thin torus limit.
4 pages, 4 figures, published version
References in corpus (11)
- Non-Abelian Anyons and Topological Quantum Computation
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Reduced density matrices and entanglement entropy in free lattice models
- Entanglement entropy in fermionic Laughlin states
- Quantum Hall system in Tao-Thouless limit
- Bipartite entanglement entropy in fractional quantum Hall states
- Half-Filled Lowest Landau Level on a Thin Torus
- One-Dimensional Theory of the Quantum Hall System
- Microscopic theory of the quantum Hall hierarchy
- Entanglement signatures of quantum Hall phase transitions
- Testing the topological nature of the fractional quantum Hall edge
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