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Edge excitations and topological order in a rotating Bose gas

2004/08/31 by M. A. Cazalilla, Miguel A. Cazalilla, N. Barberan +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.71.121303

published as Phys. Rev. B 71, 121303(R) (2005) · Results extended to larger systems. Improved presentation

arxiv created 2004/12/11 · openalex publication_date 2005/03/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

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.

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