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arXiv · 0908.3945

Correlations and beam splitters for quantum Hall anyons

Smitha Vishveshwara·N. R. Cooper
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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.

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Smitha Vishveshwara, N. R. Cooper. 2009-08-27. Correlations and beam splitters for quantum Hall anyons. https://doi.org/10.1103/physrevb.81.201306

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