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

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.

6 pages, 3 figures

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• Controlled self-similar matter waves in PT-symmetric waveguide
• Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
• Drag force in bimodal cubic-quintic nonlinear Schrödinger equation
• Damping of Confined Excitations Modes of 1D Condensates in an Optical Lattice
• Relaxation of ferromagnetic domains in a disordered lattice in 2D
• Constant-Time Quantum Search with a Many-Body Quantum System
• Collective modes of trapped spinor Bose condensates