1208.2371 (Carlos Trallero-Giner et al.)

One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein
condensates in a trap potential    [PDF]

Carlos Trallero-Giner, Rolci Cipolatti

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.

View original: http://arxiv.org/abs/1208.2371