Simulation of anyons with tensor network algorithms

R. N C Pfeifer, P. Corboz, O. Buerschaper, M. Aguado, M. Troyer, G. Vidal

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


Interacting systems of anyons pose a unique challenge to condensed-matter simulations due to their nontrivial exchange statistics. These systems are of great interest as they have the potential for robust universal quantum computation but numerical tools for studying them are as yet limited. We show how existing tensor network algorithms may be adapted for use with systems of anyons and demonstrate this process for the one-dimensional multiscale entanglement renormalization ansatz (MERA). We apply the MERA to infinite chains of interacting Fibonacci anyons, computing their scaling dimensions and local scaling operators. The scaling dimensions obtained are seen to be in agreement with conformal field theory. The techniques developed are applicable to any tensor network algorithm, and the ability to adapt these ansätze for use on anyonic systems opens the door for numerical simulation of large systems of free and interacting anyons in one and two dimensions.

Original languageEnglish
Article number115126
Pages (from-to)1-16
Number of pages16
JournalPhysical Review B: Condensed Matter and Materials Physics
Issue number11
Publication statusPublished - 29 Sept 2010
Externally publishedYes


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