Variational analysis of flat-top solitons in Bose-Einstein condensates
B. B. Baizakov, A. Bouketir, A. Messikh, A. Benseghir, B. A. Umarov
TL;DR
This paper investigates flat-top solitons in dense Bose-Einstein condensates using a variational approximation and numerical simulations, highlighting the effectiveness of a super-Gaussian trial function in modeling these solitons.
Contribution
It introduces a super-Gaussian trial function for variational analysis of flat-top solitons and validates it against numerical solutions of the Gross-Pitaevskii equation.
Findings
Good agreement between VA and numerical profiles.
Flat-top solitons can be effectively modeled with super-Gaussian functions.
The approach is relevant for experimentally realistic parameters.
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.
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