Quantum Hall fractions in rotating Bose-Einstein condensates

Details Quantum Hall fractions in rotating Bose-Einstein condensates Quantum Hall fractions in rotating Bose-Einstein condensates

2002-12-19

arxiv.org/abs/cond-mat/0212477v1

Phys. Rev. Lett. 91, 030402 (2003).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figs

Scientific paper

10.1103/PhysRevLett.91.030402

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, 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 = 1/2, 2/3, 3/4, 4/3, 5/4 as well as the Pfaffian state for nu =1. The collective excitations for the Jain sequence are well described by a composite-fermion scheme.

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