Edge excitations and Topological orders in rotating Bose gases

TL;DR

This paper investigates the edge excitations and topological orders in rotating Bose gases, using exact diagonalization to analyze their properties and compare with theoretical models, revealing both consistencies and anomalies.

Contribution

It provides a detailed numerical study of edge states in rotating Bose gases and examines the applicability of Wen's chiral Luttinger-liquid theory to these systems.

Findings

Chiral Luttinger-liquid theory describes bosonic Laughlin edges well.

Anomalies are observed in the Moore-Read (Pfaffian) state edges in harmonic traps.

Proposes experimental detection methods for these topological states.

Abstract

The edge excitations and related topological orders of correlated states of a fast rotating Bose gas are studied. Using exact diagonalization of small systems, we compute the energies and number of edge excitations, as well as the boson occupancy near the edge for various states. The chiral Luttinger-liquid theory of Wen is found to be a good description of the edges of the bosonic Laughlin and other states identified as members of the principal Jain sequence for bosons. However, we find that in a harmonic trap the edge of the state identified as the Moore-Read (Pfaffian) state shows a number of anomalies. An experimental way of detecting these correlated states is also discussed.