Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure

Details Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure

2009-09-17

arxiv.org/abs/0909.3305v2

Phys. Rev. Lett. 103, 261601 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, v2: published version

Scientific paper

10.1103/PhysRevLett.103.261601

We generalize the topological entanglement entropy to a family of topological Renyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that, surprisingly, all topological Renyi entropies are the same, independent of alpha for all non-chiral topological phases. This independence shows that topologically ordered ground-state wavefunctions have reduced density matrices with a certain simple structure, and no additional universal information can be extracted from the entanglement spectrum.

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