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Topological Quantum Computing

Statistics of fractionalized excitations through threshold spectroscopy

arXiv
Authors: Siddhardh C. Morampudi, Ari M. Turner, Frank Pollmann, Frank Wilczek

Year

2016

Paper ID

7899

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

We show that the anyonic statistics of fractionalized excitations display characteristic signatures in threshold spectroscopic measurements. Drawing motivation from topologically ordered phases such as gapped quantum spin liquids and fractional chern insulators which possess fractionalized excitations, we consider gapped systems with abelian anyonic excitations. The low energy onset of associated correlation functions near the threshold show universal behaviour depending on the statistics of the anyons. This explains some recent theoretical results in spin systems and also provides a route towards detecting statistics in experiments such as neutron scattering and tunneling spectroscopy.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • We show that the anyonic statistics of fractionalized excitations display characteristic signatures in threshold spectroscopic measurements.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1608.05700 [2] arXiv https://arxiv.org/abs/1608.05700 [3] Publisher https://arxiv.org/abs/1608.05700

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