369 citations · 1.8k across the 51 of their papers we have counts for
51 papers
On the unitarity and modularity of ribbon tensor categories associated with affine Lie algebras
Daria Rudneva, Eddy Ardonne
We study the unitarity and modularity of ribbon tensor categories derived from simple affine Lie algebras, via their associated quantum groups. Based on numerical calculations, and…
A bosonic matrix product state description of Read-Rezayi states and its application to quasi-hole spins
Alexander Fagerlund, Eddy Ardonne
We study the Read-Rezayi quantum Hall state by means of a purely bosonic matrix product state formulation, which is described in detail. We calculate the density profiles in…
Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
Alexander Fagerlund, Alberto Nardin, Leonardo Mazza +1
We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle.…
On the non-hermitian Kitaev chain
Eddy Ardonne, Viktor Kurasov
We study the non-hermitian Kitaev chain model, for arbitrary complex parameters. In particular, we give a concise characterisation of the curves of eigenvalues in the complex plane…
Spin-statistics relation for quantum Hall states
Alberto Nardin, Eddy Ardonne, Leonardo Mazza
We prove a generic spin-statistics relation for the fractional quasiparticles that appear in abelian quantum Hall states on the disk. The proof is based on an efficient way for com…
Sensitivity of non-Hermitian systems
Elisabet Edvardsson, Eddy Ardonne
Understanding the extreme sensitivity of the eigenvalues of non-Hermitian Hamiltonians to the boundary conditions is of great importance when analyzing non-Hermitian systems, as it…