Anyonic entanglement renormalization

Robert König, Ersen Bilgin

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


We introduce a family of variational ansatz states for chains of anyons which optimally exploits the structure of the anyonic Hilbert space. This ansatz is the natural analog of the multiscale entanglement renormalization ansatz for spin chains. In particular, it has the same interpretation as a coarse-graining procedure and is expected to accurately describe critical systems with algebraically decaying correlations. We numerically investigate the validity of this ansatz using the anyonic golden chain and its relatives as a testbed. This demonstrates the power of entanglement renormalization in a setting with non-Abelian exchange statistics, extending previous work on qudits, bosons, and fermions in two dimensions.

Original languageEnglish
Article number125118
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
StatePublished - 21 Sep 2010
Externally publishedYes


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