Lieb Mode in a Quasi One-Dimensional Bose-Einstein Condensate of Atoms

Details Lieb Mode in a Quasi One-Dimensional Bose-Einstein Condensate of Atoms Lieb Mode in a Quasi One-Dimensional Bose-Einstein Condensate of Atoms

2002-02-11

arxiv.org/abs/cond-mat/0202178v5

Phys. Rev. Lett., 89 (2002) 070403

Physics

Condensed Matter

4 pages, 2 ps figures, RevTex

Scientific paper

10.1103/PhysRevLett.89.070403

We calculate the dispersion relation associated with a solitary wave in a quasi-one-dimensional Bose-Einstein condensate of atoms confined in a harmonic, cylindrical trap in the limit of weak and strong interactions. In both cases, the dispersion relation is linear for long wavelength excitations and terminates at the point where the group velocity vanishes. We also calculate the dispersion relation of sound waves in both limits of weak and strong coupling.

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