Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
| dc.creator | Li, Hui | |
| dc.creator | Haldane, F. D. M. | |
| dc.date | 2008-05-05 | |
| dc.date | 2008-07-04 | |
| dc.date.accessioned | 2026-07-07T09:48:26Z | |
| dc.date.available | 2026-07-07T09:48:26Z | |
| dc.description | We study the "entanglement spectrum" (a presentation of the Schmidt decomposition analogous to a set of "energy levels") of a many-body state, and compare the Moore-Read model wavefunction for the $ν$ = 5/2 fractional quantum Hall state with a generic 5/2 state obtained by finite-size diagonalization of the second-Landau-level-projected Coulomb interactions. Their spectra share a common "gapless" structure, related to conformal field theory. In the model state, these are the \textit{only} levels, while in the "generic" case, they are separated from the rest of the spectrum by a clear "entanglement gap", which appears to remain finite in the thermodynamic limit. We propose that the low-lying entanglement spectrum can be used as a "fingerprint" to identify topological order. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0805.0332 | |
| dc.identifier | http://arxiv.org/abs/0805.0332 | |
| dc.identifier | Phys. Rev. Lett. 101, 010504 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.101.010504 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164212 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States | |
| dc.type | text |