One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential
Atomic Physics
2015-06-11 v1 Quantum Gases
Abstract
By means of new general variational method we report a direct solution for the quintic self-focusing nonlinearity and cubic-quintic 1D Gross Pitaeskii equation (GPE) in a harmonic confined potential. We explore the influence of the 3D transversal motion generating a quintic nonlinear term on the ideal 1D pure cigar-like shape model for the attractive and repulsive atom-atom interaction in Bose Einstein condensates (BEC). Also, we offer a closed analytical expression for the evaluation of the error produced when solely the cubic nonlinear GPE is considered for the description of 1D BEC.
Keywords
Cite
@article{arxiv.1208.2371,
title = {One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential},
author = {Carlos Trallero-Giner and Rolci Cipolatti},
journal= {arXiv preprint arXiv:1208.2371},
year = {2015}
}
Comments
6 pages, 3 figures