Dark matter-wave solitons in the dimensionality crossover

Details Dark matter-wave solitons in the dimensionality crossover Dark matter-wave solitons in the dimensionality crossover

2007-10-05

arxiv.org/abs/0710.1179v1

Physics

Condensed Matter

Other Condensed Matter

Phys. Rev. A, in press

Scientific paper

10.1103/PhysRevA.76.045601

We consider the statics and dynamics of dark matter-wave solitons in the dimensionality crossover regime from 3D to 1D. There, using the nonpolynomial Schr\"{o}dinger mean-field model, we find that the anomalous mode of the Bogoliubov spectrum has an eigenfrequency which coincides with the soliton oscillation frequency obtained by the 3D Gross-Pitaevskii model. We show that substantial deviations (of order of 10% or more) from the characteristic frequency $\omega_{z}/\sqrt{2}$ ($\omega_{z}$ being the longitudinal trap frequency) are possible even in the purely 1D regime.

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