PIRSA:13110062 Scientific Series Mathematical physics

DOI10.48660/13110062

Series: Colloquium

Vishveshwara, S. (2013). Fractional statistics in two-dimensions: Anyon there?. Perimeter Institute. https://pirsa.org/13110062

Vishveshwara, Smitha. Fractional statistics in two-dimensions: Anyon there?. Perimeter Institute, Nov. 06, 2013, https://pirsa.org/13110062 

@misc{ pirsa_PIRSA:13110062,
  doi = {10.48660/13110062},
  url = {https://pirsa.org/13110062},
  author = {Vishveshwara, Smitha},
  keywords = {Mathematical physics},
  language = {en},
  title = {Fractional statistics in two-dimensions: Anyon there?},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {nov},
  note = {PIRSA:13110062 see, \url{https://pirsa.org}}
}

Abstract

A fascinating aspect of the two dimensional world is the possible existence of anyons, particles which obey 'fractional' statistics different from fermionic and bosonic statistics. In this colloquium, following an introduction to fractional particles in the context of quantum Hall systems, some of the tantalizing experiments for detecting the fractional charge of these particles will be described. Probes of fractional statistics in these systems will be discussed, drawing from analogies with the bosonic behavior of light studied by Hanbury Brown and Twiss in the 1950's as well as in the more recent beam-splitter settings in quantum optics. Finally, the exciting prospect of detecting fractional statistics in the context of superconductors will be explored.

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