Edge excitations and Topological orders in rotating Bose gases

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.

Results extended to larger systems. Improved presentation

Cited by in corpus (14)

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• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• Ordered structures in rotating ultracold Bose gases
• Validity of the Lowest Landau Level Approximation for Rotating Bose Gases
• Hard-Wall Confinement of a Fractional Quantum Hall Liquid
• Gauge matters: Observing the vortex-nucleation transition in a Bose condensate
• Universality of Many-Body States in Rotating Bose and Fermi Systems
• Two-dimensional topological order of kinetically constrained quantum particles
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit
• Few-particle systems: An analysis of some strongly correlated states