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20232026
most citedDynamical abelian anyons with bound states and scattering states

3 citations · 5 across the 6 of their papers we have counts for

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math-ph2023★ 1 cited

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…

math-ph2023

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…

math-ph2023★ 3 cited

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…