Phys. Rev. A 66, 043610 (2002) [6 pages]Collective oscillations of a one-dimensional trapped Bose-Einstein gasSee Also: Publisher's Note Received 21 May 2002; published 21 October 2002; corrected 18 June 2003 Starting from the hydrodynamic equations of superfluids, we calculate the frequencies of the collective oscillations of a harmonically trapped Bose-Einstein gas for various one-dimensional configurations at zero temperature. These include the mean-field regime described by Gross-Pitaevskii theory and the beyond-mean-field regime at small densities described by the Lieb-Liniger theory. The relevant combinations of the physical parameters governing the transition between the different regimes as well as the conditions of applicability of the hydrodynamic equations are discussed. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.043610
DOI:
10.1103/PhysRevA.66.043610
PACS:
03.75.Fi, 05.30.Jp, 32.80.Pj, 67.40.-w
See AlsoPublisher's Note: Chiara Menotti and Sandro Stringari, Publisher’s Note: Collective oscillations of a one-dimensional trapped Bose-Einstein gas [Phys. Rev. A 66, 043610 (2002)], Phys. Rev. A 67, 069904 (2003). |
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