I am interested in the study of systems of particles having non-bosonic, non-fermionic statistics. Although systems in three dimensions may only be bosonic or fermionic, in two dimensions other possibilities exist. The particles in these systems frequently exhibit strange and unintuitive behaviours, and relatively little is known about their collective properties. I use recent developments in tensor network algorithms to probe the behaviours of these systems.
As a complement to my research into anyons I am also involved in the development of cutting-edge tensor network algorithm techniques, and the description of anyons using tensor category-based notation systems.
R.N.C. Pfeifer, Phase diagram for hard-core Z3 anyons on the ladder (2015) arXiv:1505.06928
R.N.C. Pfeifer, S. Singh Finite Density Matrix Renormalisation Group Algorithm for Anyonic Systems (2015) arXiv:1505.00100
R.N.C. Pfeifer, J. Haegeman, and F. Verstraete Faster identification of optimal contraction sequences for tensor networks (2014) Phys. Rev. E 90 , 033315
R.N.C. Pfeifer, Measures of entanglement in non-Abelian anyonic systems (2014) Phys. Rev. B 89 , 035105
R.N.C. Pfeifer, P. Corboz, O. Buerschaper, M. Aguado, M. Troyer, and G. Vidal, Simulation of anyons with tensor network algorithms (2010) Phys. Rev. B 82 , 115126