Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates

Details Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates

2007-07-19

arxiv.org/abs/0707.2861v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.76.023615

We investigate bright matter-wave solitons in the presence of a spatially varying nonlinearity. It is demonstrated that a translation mode is excited due to the spatial inhomogeneity and its frequency is derived analytically and also studied numerically. Both cases of purely one-dimensional and ``cigar-shaped'' condensates are studied by means of different mean-field models, and the oscillation frequencies of the pertinent solitons are found and compared with the results obtained by the linear stability analysis.Numerical results are shown to be in very good agreement with the corresponding analytical predictions.

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