Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-10-13
Phys. Rev. A 71, 033609 (2005)
Physics
Condensed Matter
Other Condensed Matter
Scientific paper
10.1103/PhysRevA.71.033609
The full set of stationary states of the mean field of a Bose-Einstein condensate in the presence of a potential step or point-like impurity are presented in closed analytic form. The nonlinear Schr\"odinger equation in one dimension is taken as a model. The nonlinear analogs of the continuum of stationary scattering states, as well as evanescent waves, are discussed. The solutions include asymmetric soliton trains and other wavefunctions of novel form, such as a pair of dark solitons bound by an impurity.
Carr Lincoln D.
Holland Murray J.
Seaman B. T.
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