Probing Non-Abelian Statistics with QuasiParticle Interferometry

TL;DR

This paper explores how interferometry can reveal non-Abelian statistics in quantum Hall systems, providing explicit predictions for experimental observations, especially in the context of Read-Rezayi states at filling factor 12/5.

Contribution

It offers a detailed theoretical framework connecting interferometric outcomes to non-Abelian braiding, with explicit predictions for specific fractional quantum Hall states.

Findings

Explicit predictions for non-Abelian braiding signatures in interferometry.

Application of the modular S-matrix to interpret experimental results.

Analysis of the nu=12/5 fractional quantum Hall plateau.

Abstract

We examine interferometric experiments in systems that exhibit non-Abelian braiding statistics, expressing outcomes in terms of the modular S-matrix. In particular, this result applies to FQH interferometry, and we give a detailed treatment of the Read-Rezayi states, providing explicit predictions for the recently observed nu=12/5 plateau.