One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential
arXiv:1208.2371 · doi:10.1140/epjd/e2013-40163-9
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.
arXiv comment6 pages, 3 figures
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- Constant-Time Quantum Search with a Many-Body Quantum System
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