Dynamics of trapped bright solitons in the presence of localized inhomogeneities

Details Dynamics of trapped bright solitons in the presence of localized inhomogeneities Dynamics of trapped bright solitons in the presence of localized inhomogeneities

2005-03-09

arxiv.org/abs/cond-mat/0503227v1

Phys. Lett. A 345 (2005) 144

Physics

Condensed Matter

Other Condensed Matter

8 pages, 5 composite figures with low res (for high res pics please go to http://www.rohan.sdsu.edu/~rcarrete/ [Publications]

Scientific paper

10.1016/j.physleta.2005.07.008

We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized ``impurity'' in Bose-Einstein condensates (BECs). We study the generation and stability of a pair of steady states in the vicinity of the impurity as the impurity strength is varied. These two new steady states, one stable and one unstable, disappear through a saddle-node bifurcation as the strength of the impurity is decreased. The dynamics of the soliton is also examined in all the cases (including cases where the soliton is offset from one of the relevant fixed points). The numerical results are corroborated by theoretical calculations which are in very good agreement with the numerical findings.

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