pith. machine review for the scientific record. sign in

arxiv: cond-mat/0612341 · v1 · submitted 2006-12-13 · ❄️ cond-mat.str-el · quant-ph

Recognition: unknown

Interacting anyons in topological quantum liquids: The golden chain

Adrian Feiguin , Simon Trebst , Andreas W. W. Ludwig , Matthias Troyer , Alexei Kitaev , Zhenghan Wang , Michael H. Freedman
Authors on Pith no claims yet
classification ❄️ cond-mat.str-el quant-ph
keywords anyonschainmodelquantumanyoniccriticalinteractingneighboring
0
0 comments X
read the original abstract

We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse into the trivial (`identity') channel, similar to the quantum Heisenberg model favoring neighboring spins to form spin singlets. Numerical simulations of a chain of Fibonacci anyons show that the model is critical with a dynamical critical exponent z=1, and described by a two-dimensional conformal field theory with central charge c=7/10. An exact mapping of the anyonic chain onto the two-dimensional tricritical Ising model is given using the restricted-solid-on-solid (RSOS) representation of the Temperley-Lieb algebra. The gaplessness of the chain is shown to have topological origin.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata

    cond-mat.str-el 2026-05 unverdicted novelty 7.0

    Any weakly integral fusion category admits a QCA-refined realization on tensor-product Hilbert spaces with QCA and symmetry indices fixed by the categorical data under defect assumptions.

  2. Generalized Complexity Distances and Non-Invertible Symmetries

    hep-th 2026-04 unverdicted novelty 7.0

    Non-invertible symmetries define quantum gates with generalized complexity distances, and simple objects in symmetry categories turn out to be computationally complex in concrete 4D and 2D QFT examples.

  3. Lattice Topological Defects in Non-Unitary Conformal Field Theories

    hep-th 2026-04 unverdicted novelty 5.0

    Lattice realizations of topological defects in non-unitary 2D CFTs are built from modified RSOS models, yielding numerical results that match analytical predictions for spectra and RG flows.