From entanglement renormalisation to the disentanglement of quantum double models

Details From entanglement renormalisation to the disentanglement of quantum double models From entanglement renormalisation to the disentanglement of quantum double models

2010-12-26

arxiv.org/abs/1101.0527v2

Annals Phys.326:2444-2473,2011

Physics

Condensed Matter

Strongly Correlated Electrons

46 pages, 25 eps figures

Scientific paper

10.1016/j.aop.2011.07.007

We describe how the entanglement renormalisation approach to topological lattice systems leads to a general procedure for treating the whole spectrum of these models, in which the Hamiltonian is gradually simplified along a parallel simplification of the connectivity of the lattice. We consider the case of Kitaev's quantum double models, both Abelian and non-Abelian, and we obtain a rederivation of the known map of the toric code to two Ising chains; we pay particular attention to the non-Abelian models and discuss their space of states on the torus. Ultimately, the construction is universal for such models and its essential feature, the lattice simplification, may point towards a renormalisation of the metric in continuum theories.

Affiliated with

Also associated with

No associations

Rating

From entanglement renormalisation to the disentanglement of quantum double models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From entanglement renormalisation to the disentanglement of quantum double models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From entanglement renormalisation to the disentanglement of quantum double models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532487