Effective-range signatures in quasi-1D matter waves: sound velocity and solitons
arXiv:1501.01546 · doi:10.1088/0953-4075/48/11/115301
Abstract
We investigate ultracold and dilute bosonic atoms under strong transverse harmonic confinement by using a 1D modified Gross-Pitaevskii equation (1D MGPE), which accounts for the energy dependence of the two-body scattering amplitude within an effective-range expansion. We study sound waves and solitons of the quasi-1D system comparing 1D MGPE results with the 1D GPE ones. We point out that, when the finite-size nature of the interaction is taken into account, the speed of sound and the density profiles of both dark and bright solitons show relevant quantitative changes with respect to what predicted by the standard 1D GPE.
arXiv comment13 pages, 4 figures, improved version, added a figure and two references, to be published in J. Phys. B: At. Mol. Opt. Phys
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- Few-Body Route to One-Dimensional Quantum Liquids
- Probing non-locality of interactions in a Bose-Einstein Condensate using solitons
- Interaction-Induced Dimensional Crossover through Full 3D to 1D
- Effective field theory of bosons with finite-range interaction in a disordered environment