Dark matter-wave solitons in the dimensionality crossover

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 ${\omega }_z/\sqrt{2}$ (${\omega }_z$ being the longitudinal trap frequency) are possible even in the purely 1D regime.

Phys. Rev. A, in press

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• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Phase Sensitive Recombination of Two Bose-Einstein Condensates on an Atom Chip
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Cited by in corpus (5)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Experimental observation of oscillating and interacting matter wave dark solitons
• Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity
• Quantum fluctuations in the image of a Bose gas
• Quantum-limited position measurements of a dark matter-wave soliton