Variational analysis of flat-top solitons in Bose-Einstein condensates

Abstract

Static and dynamic properties of matter-wave solitons in dense Bose-Einstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For experimentally relevant parameters, matter-wave solitons may acquire a flat-top shape, which suggests employing a super-Gaussian trial function for VA. Comparison of the soliton profiles, predicted by VA and those found from numerical solution of the governing Gross-Pitaevskii equation shows good agreement, thereby validating the proposed approach.

14 pages, 5 figures

References in corpus (4)

• Feshbach Resonances in Ultracold Gases
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Solitons in Tonks-Girardeau gas with dipolar interactions

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• Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes