308 citations · 1.4k across the 17 of their papers we have counts for
5 papers · 1 filter
Tensor network states and algorithms in the presence of a global U(1) symmetry
Sukhwinder Singh, Robert N. C. Pfeifer, Guifre Vidal
Tensor network decompositions offer an efficient description of certain many-body states of a lattice system and are the basis of a wealth of numerical simulation algorithms. In a…
Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
Philippe Corboz, Jacob Jordan, Guifre Vidal
In a recent contribution [Phys. Rev. B 81, 165104 (2010)] fermionic Projected Entangled-Pair States (PEPS) were used to approximate the ground state of free and interacting spinles…
Entanglement renormalization and gauge symmetry
Luca Tagliacozzo, Guifre Vidal
A lattice gauge theory is described by a redundantly large vector space that is subject to local constraints, and can be regarded as the low energy limit of an extended lattice mod…
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…
Exploiting translational invariance in Matrix Product State simulations of spin chains with periodic boundary conditions
B. Pirvu, F. Verstraete, G. Vidal
We present a matrix product state (MPS) algorithm to approximate ground states of translationally invariant systems with periodic boundary conditions. For a fixed value of the bond…