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We study the "entanglement spectrum" (a presentation of the Schmidtdecomposition analogous to a set of "energy levels") of a many-body state, andcompare the Moore-Read model wavefunction for the $\nu$ = 5/2 fractionalquantum Hall state with a generic 5/2 state obtained by finite-sizediagonalization of the second-Landau-level-projected Coulomb interactions.Their spectra share a common "gapless" structure, related to conformal fieldtheory. 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.

physical review letters

Entanglement Spectrum as a Generalization of Entanglement Entropy:  Identification of Topological Order in Non-Abelian Fractional Quantum Hall  Effect States