3 citations · 5 across the 6 of their papers we have counts for
6 papers
An Operator-Algebraic Framework for Anyons and Defects in Quantum Spin Systems
Siddharth Vadnerkar
In this dissertation, we detail an operator algebraic approach to studying topological order in the infinite volume setting. We give a thorough and self-contained review of the DHR…
The category of anyon sectors for non-abelian quantum double models
Alex Bols, Mahdie Hamdan, Pieter Naaijkens +1
We study Kitaev's quantum double model for arbitrary finite gauge group in infinite volume, using an operator-algebraic approach. The quantum double model hosts anyonic excitations…
An operator algebraic approach to symmetry defects and fractionalization
Kyle Kawagoe, Siddharth Vadnerkar, Daniel Wallick
We provide a superselection theory of symmetry defects in 2+1D symmetry enriched topological (SET) order in the infinite volume setting. For a finite symmetry group with a unit…
Classification of the anyon sectors of Kitaev's quantum double model
Alex Bols, Siddharth Vadnerkar
We give a complete classification of the anyon sectors of Kitaev's quantum double model on the infinite triangular lattice and for finite gauge group , including the non-abelian…
Superselection sectors in the 3d Toric Code
Siddharth Vadnerkar
We rigorously define superselection sectors in the 3d (spatial dimensions) Toric Code Model on the infinite lattice . We begin by constructing automorphisms that corr…
Dynamical abelian anyons with bound states and scattering states
Sven Bachmann, Bruno Nachtergaele, Siddharth Vadnerkar
We introduce a family of quantum spin Hamiltonians on that can be regarded as perturbations of Kitaev's abelian quantum double models that preserve the gauge and dua…