Entanglement renormalization and topological order

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dc.creatorAguado, Miguel
dc.creatorVidal, Guifre
dc.date2007-12-03
dc.date2008-02-21
dc.date.accessioned2026-07-07T09:21:52Z
dc.date.available2026-07-07T09:21:52Z
dc.descriptionThe 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.
dc.description6 pages, 17 eps files. v2: References updated, typos corrected. Includes appendix not in published version
dc.identifierhttps://arxiv.org/abs/0712.0348
dc.identifierhttp://arxiv.org/abs/0712.0348
dc.identifierPhys. Rev. Lett. 100, 070404 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.070404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155182
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.titleEntanglement renormalization and topological order
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