Phys. Rev. A 63, 055602 (2001) [3 pages]Low-lying excitations of a trapped rotating Bose-Einstein condensateReceived 17 November 2000; published 18 April 2001 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 N⃗∞ the excitation energy, measured from the energy of the lowest state, is given by 27N3(N3-1)v0/68, where N3 is the number of octupole excitations, and v0 is the unit of the interaction energy. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.055602
DOI:
10.1103/PhysRevA.63.055602
PACS:
03.75.Fi, 05.30.Jp, 67.40.Db, 67.40.Vs
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