Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate

Details Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate

2005-10-19

arxiv.org/abs/cond-mat/0510526v6

J. Low Temp. Phys. 143 (2006) 267-281

Physics

Condensed Matter

Other Condensed Matter

7 pages, 15 ps figures, Final version accepted in J Low Temp Phys

Scientific paper

10.1007/s10909-006-9218-4

We discuss a computational mechanism for the generation of a stationary dark soliton, or black soliton, in a trapped Bose-Einstein condensate using the Gross-Pitaevskii (GP) equation for both attractive and repulsive interaction. It is demonstrated that the black soliton with a "notch" in the probability density with a zero at the minimum is a stationary eigenstate of the GP equation and can be efficiently generated numerically as a nonlinear continuation of the first vibrational excitation of the GP equation in both attractive and repulsive cases in one and three dimensions for pure harmonic as well as harmonic plus optical-lattice traps. We also demonstrate the stability of this scheme under different perturbing forces.

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