175 citations · 858 across the 17 of their papers we have counts for
8 papers · 1 filter
From entanglement renormalisation to the disentanglement of quantum double models
Miguel Aguado
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…
A hierarchy of topological tensor network states
Oliver Buerschaper, Juan Martín Mombelli, Matthias Christandl +1
We present a hierarchy of quantum many-body states among which many examples of topological order can be identified by construction. We define these states in terms of a general, b…
Electric-magnetic duality of lattice systems with topological order
Oliver Buerschaper, Matthias Christandl, Liang Kong +1
We investigate the duality structure of quantum lattice systems with topological order, a collective order also appearing in fractional quantum Hall systems. We define electromagne…
Simulation of anyons with tensor network algorithms
Robert N. C. Pfeifer, Philippe Corboz, Oliver Buerschaper +3
Interacting systems of anyons pose a unique challenge to condensed matter simulations due to their non-trivial exchange statistics. These systems are of great interest as they have…
Mapping Kitaev's quantum double lattice models to Levin and Wen's string-net models
Oliver Buerschaper, Miguel Aguado
We exhibit a mapping identifying Kitaev's quantum double lattice models explicitly as a subclass of Levin and Wen's string net models via a completion of the local Hilbert spaces w…
Explicit tensor network representation for the ground states of string-net models
O. Buerschaper, M. Aguado, G. Vidal
The structure of string-net lattice models, relevant as examples of topological phases, leads to a remarkably simple way of expressing their ground states as a tensor network const…
DMRG Simulation of the SU(3) AFM Heisenberg Model
M. Aguado, M. Asorey, E. Ercolessi +2
We analyze the antiferromagnetic Heisenberg chain by means of the Density Matrix Renormalization Group (DMRG). The results confirm that the model is critical and the…
Entanglement renormalization and topological order
Miguel Aguado, Guifre Vidal
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…