Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials
Quantum Gases
2018-05-09 v1 Pattern Formation and Solitons
Abstract
One-dimensional nonlinear Schr\"odinger equations are derived to describe the axial effective dynamics of cigar-shaped atomic repulsive Bose-Einstein condensates trapped with anharmonic transverse potentials. The accuracy of these equations in the perturbative, Thomas-Fermi, and crossover regimes were verified numerically by comparing the ground-state profiles, transverse chemical potentials and oscillation patterns with those results obtained for the full three-dimensional Gross-Pitaevskii equation. This procedure allows us to derive different patterns of 1D nonlinear models by the control of the transverse confinement.
Cite
@article{arxiv.1707.03260,
title = {Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials},
author = {Hugo L. C. Couto and Ardiley T. Avelar and Wesley B. Cardoso},
journal= {arXiv preprint arXiv:1707.03260},
year = {2018}
}
Comments
6 pages, 5 figures