Topological entanglement rényi entropy and reduced density matrix structure

Steven T. Flammia, Alioscia Hamma, Taylor L. Hughes, Xiao Gang Wen

Research output: Contribution to journalArticle


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

Original languageEnglish (US)
Article number261601
JournalPhysical review letters
Issue number26
StatePublished - Dec 1 2009

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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