Entanglement renormalization and topological order

Details Entanglement renormalization and topological order Entanglement renormalization and topological order

2007-12-03

arxiv.org/abs/0712.0348v2

Phys. Rev. Lett. 100, 070404 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 17 eps files. v2: References updated, typos corrected. Includes appendix not in published version

Scientific paper

10.1103/PhysRevLett.100.070404

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.

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