Abelian an non abelian anyons

Table of contents
- Abelian anyon Abelian an non abelian anyons
- Non Abelian anyon Abelian an non abelian anyons

Abelian anyon

On particle exchange:

ψ = e^{θ i} ψ

so it is a generalization of bosons and fermions which have

θ = 0

and

θ = π

respectively.

Key physical experiment: fractional quantum Hall effect.

Non Abelian anyon

Exotic and hard to find experimentally.

Topological quantum computation by Jason Alicea (2021)

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