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arXiv · 0710.1179

Dark matter-wave solitons in the dimensionality crossover

G. Theocharis·P. G. Kevrekidis·M. K. Oberthaler·D. J. Frantzeskakis
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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 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 order of 10% or more) from the characteristic frequency $ω_{z}/\sqrt{2}$ ($ω_{z}$ being the longitudinal trap frequency) are possible even in the purely 1D regime.

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G. Theocharis, P. G. Kevrekidis, M. K. Oberthaler, D. J. Frantzeskakis. 2007-10-05. Dark matter-wave solitons in the dimensionality crossover. https://doi.org/10.1103/physreva.76.045601

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