Entanglement renormalization and topological order
Strongly Correlated Electrons
2008-02-22 v2 Quantum Physics
Abstract
The multi-scale entanglement renormalisation ansatz (MERA) is argued to provide a natural description for topological states of matter. The case of Kitaev's toric code is analyzed in detail and shown to possess a remarkably simple MERA description leading to distillation of the topological degrees of freedom at the top of the tensor network. Kitaev states on an infinite lattice are also shown to be a fixed point of the RG flow associated with entanglement renormalization. All these results generalize to arbitrary quantum double models.
Cite
@article{arxiv.0712.0348,
title = {Entanglement renormalization and topological order},
author = {Miguel Aguado and Guifre Vidal},
journal= {arXiv preprint arXiv:0712.0348},
year = {2008}
}
Comments
6 pages, 17 eps files. v2: References updated, typos corrected. Includes appendix not in published version