2002/12/19 by Nicolas Regnault, N. Regnault, Th. Jolicoeur +1 · 8 citations
Physics and Astronomy · #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Electron #Excited state #Geometry #Ground state #Pfaffian #Physics #Principal quantum number #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum number #Scaling #Strong Light-Matter Interactions #Vortex #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.91.030402
published as Phys. Rev. Lett. 91, 030402 (2003). · 4 pages, 5 figs
arxiv created 2002/12/19 · openalex publication_date 2003/07/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the quantum Hall phases that appear in the dilute limit of rotating Bose-Einstein condensates. By exact diagonalization in a spherical geometry we obtain the ground state and low-lying excited states of a small number of bosons as a function of the filling fraction nu, the ratio of the number of bosons to the number of vortices. We show the occurrence of the Jain principal sequence of incompressible liquids for nu=2/3,3/4,4/3,5/4 in addition to the Laughlin state nu=1/2 as well as the Pfaffian state for nu=1. We give gap estimates by finite-size scaling of both charged and neutral excitations.