Experiments on Multidimensional Solitons
The experimental work on solitons in BECs during the past decade has been extremely important in two respects. First, experiments have shown unambiguously that solitons and related nonlinear waves do exist in BECs. This was disputed at the time when the first experiments were performed in 1999 [1, 2] and may still be found surprising given that we are dealing with a quantum many-body system driven towards strongly non-equilibrium dynamics. Second, the experiments have inspired theoretical work in many directions. A particular example is the work on solitary waves in dimensional crossovers induced by trapping potentials that restrict the geometry, as discussed in Chap. 7.
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