Dark matter-wave solitons in the dimensionality crossover
Other Condensed Matter
2009-11-13 v1
Abstract
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 ( being the longitudinal trap frequency) are possible even in the purely 1D regime.
Cite
@article{arxiv.0710.1179,
title = {Dark matter-wave solitons in the dimensionality crossover},
author = {G. Theocharis and P. G. Kevrekidis and M. K. Oberthaler and D. J. Frantzeskakis},
journal= {arXiv preprint arXiv:0710.1179},
year = {2009}
}
Comments
Phys. Rev. A, in press