Publication Date
2007
Journal or Book Title
PHYSICAL REVIEW A
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 ωz∕√2 (ωz being the longitudinal trap frequency) are possible even in the purely 1D regime.
Pages
-
Volume
76
Issue
4
Recommended Citation
Theocharis, G; Kevrekidis, PG; Oberthaler, MK; and Frantzeskakis, DJ, "Dark matter-wave solitons in the dimensionality crossover" (2007). PHYSICAL REVIEW A. 108.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/108
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://pra.aps.org/abstract/PRA/v76/i4/e045601