English

Correlations and beam splitters for quantum Hall anyons

Strongly Correlated Electrons 2014-11-05 v1

Abstract

We study the system of two localized anyons in the lowest Landau level and show how anyonic signatures extrapolating between anti-bunching tendencies of fermions and bunching tendencies of bosons become manifest in the two-particle correlations. Towards probing these correlations, we discuss the influence of a saddle potential on these anyons; we exploit analogies from quantum optics to analyze the time-evolution of such a system. We show that the saddle potential can act as a beam splitter akin to those in bosonic and fermionic systems and can provide a means of measuring the derived anyonic signatures.

Keywords

Cite

@article{arxiv.0908.3945,
  title  = {Correlations and beam splitters for quantum Hall anyons},
  author = {Smitha Vishveshwara and N. R. Cooper},
  journal= {arXiv preprint arXiv:0908.3945},
  year   = {2014}
}

Comments

4+ pages, 1 figure

R2 v1 2026-06-21T13:39:27.128Z