Matter wave soliton collisions in the quasi one dimensional potential

Details Matter wave soliton collisions in the quasi one dimensional potential Matter wave soliton collisions in the quasi one dimensional potential

2008-06-03

arxiv.org/abs/0806.0469v1

Nonlinear Sciences

Pattern Formation and Solitons

8 pages 7 figures

Scientific paper

We consider soliton solutions of a two-dimensional nonlinear system with the self-focusing nonlinearity and a quasi-1D confining potential, taking harmonic potential as an example. We investigate a single soliton in detail and find criterion for possible collapse. This information is then used to investigate the dynamics of the two soliton collision. In this dynamics we identify three regimes according to the relation between nonlinear interaction and the excitation energy: elastic collision, excitation and collapse regime. We show that surprisingly accurate predictions can be obtained from variational analysis.

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