Quantum Hall quasielectrons - Abelian and non-Abelian

TL;DR

This paper develops conformal field theory methods to accurately describe quasielectrons in Quantum Hall states, including non-Abelian states, and constructs explicit multi-quasielectron excitations, advancing understanding of their properties for quantum computing.

Contribution

It introduces a new conformal field theory approach to describe quasielectrons and explicitly constructs multi-quasielectron states in non-Abelian Quantum Hall systems.

Findings

Explicit construction of two- and four-quasielectron states in Moore-Read state

Enhanced theoretical understanding of quasielectron properties

Framework applicable to Abelian and non-Abelian Quantum Hall states

Abstract

The quasiparticles in Quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could in principle be used for robust coding of quantum information. There is already a good theoretical understanding of quasiholes both in Abelian and non-Abelian QH states. Here we develop conformal field theory methods that allow for an equally precise description of quasielectrons, and explicitly construct two- and four-quasielectron excitations of the non-Abelian Moore-Read state.