Bright solitary waves of trapped atomic Bose-Einstein condensates

Details Bright solitary waves of trapped atomic Bose-Einstein condensates Bright solitary waves of trapped atomic Bose-Einstein condensates

2008-02-28

arxiv.org/abs/0802.4275v1

Physica D: Nonlinear Phenomena, Volume 238, Issue 15, 15 July 2009, Pages 1456-1461

Physics

Condensed Matter

Other Condensed Matter

8 pages, 5 figures (low quality)

Scientific paper

10.1016/j.physd.2008.07.001

Motivated by recent experimental observations, we study theoretically multiple bright solitary waves of trapped Bose-Einstein condensates. Through variational and numerical analyses, we determine the threshold for collapse of these states. Under $\pi$-phase differences between adjacent waves, we show that the experimental states lie consistently at the threshold for collapse, where the corresponding in-phase states are highly unstable. Following the observation of two long-lived solitary waves in a trap, we perform detailed three-dimensional simulations which confirm that in-phase waves undergo collapse while a $\pi$-phase difference preserves the long-lived dynamics and gives excellent quantitative agreement with experiment. Furthermore, intermediate phase differences lead to the growth of population asymmetries between the waves, which ultimately triggers collapse.

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