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We investigate the low-lying excitations of a weakly interacting, harmonically trapped Bose-Einstein condensed gas under rotation, in the limit where the angular mometum L of the system is much less than the number of the atoms N in the trap. We show that in the asymptotic limit N → ∞ the excitation energy, measured from the energy of the lowest state, is given by 2 7 N 3 ( N 3 - 1 ) v 0 / 68 , where N 3 is the number of octupole excitations, and v 0 is the unit of the interaction energy.
Physical Review A – American Physical Society (APS)
Published: May 1, 2001
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