Abstract
We consider the statics and dynamics of dark matter-wave solitons in the dimensionality crossover regime from three dimensions (3D) to one dimension (1D). There, using the nonpolynomial Schrödinger 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 the order of 10% or more) from the characteristic frequency ( being the longitudinal trap frequency) are possible even in the purely 1D regime.
- Received 2 August 2007
DOI:https://doi.org/10.1103/PhysRevA.76.045601
©2007 American Physical Society