Topological entanglement in Abelian and non-Abelian excitation eigenstates

Z. Papić, B. A. Bernevig, N. Regnault

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

Entanglement in topological phases of matter has so far been investigated through the perspective of their ground-state wave functions. In contrast, we demonstrate that the excitations of fractional quantum Hall (FQH) systems also contain information to identify the system's topological order. Entanglement spectrum of the FQH quasihole (QH) excitations is shown to differentiate between the conformal field theory (CFT) sectors, based on the relative position of the QH with respect to the entanglement cut. For Read-Rezayi model states, as well as Coulomb interaction eigenstates, the counting of the QH entanglement levels in the thermodynamic limit matches exactly the CFT counting, and sector changes occur as non-Abelian quasiholes successively cross the entanglement cut.

Original languageEnglish (US)
Article number056801
JournalPhysical review letters
Volume106
Issue number5
DOIs
StatePublished - Feb 1 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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