Phys. Rev. Lett. 89, 070402 (2002) [4 pages]Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein CondensateReceived 11 February 2002; published 30 July 2002 We present a calculation of a solitary wave propagating along a cylindrical Bose-Einstein trap. For sufficiently strong couplings of experimental interest, it is found to be a hybrid of a one-dimensional (1D) soliton and a three-dimensional vortex ring. The calculated energy-momentum dispersion exhibits characteristics similar to those of a mode proposed sometime ago by Lieb within a 1D model, as well as some rotonlike features. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.070402
DOI:
10.1103/PhysRevLett.89.070402
PACS:
05.30.Jp, 03.75.Fi, 05.45.Yv
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