Effective 1D-equation with a Lambert W function nonlinearity for cigar-shaped Bose-Einstein condensates

被引：0
作者：
Couto, Hugo L. C. [1 ]
Avelar, Ardiley T. [2 ]
Cardoso, Wesley B. [2 ]
机构：
[1] Inst Fed Educ Ciencia & Tecnol Goias, BR-75804714 Jatai, Goias, Brazil
[2] Univ Fed Goias, Inst Fis, BR-74690900 Goiania, GO, Brazil
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 140卷
关键词：
Bose-Einstein condensate; Effective equations; Anti-Gaussian potential; Lambert W function; VORTEX; WAVES;
D O I：
10.1016/j.cnsns.2024.108447
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we derive an effective 1D equation based on the work of Mateo and Delgado [Phys. Rev. A 77, 013617 (2008)] that governs the axial dynamics of mean-field cigar-shaped Bose- Einstein condensates (BECs) with repulsive interatomic interactions and subject to transverse anti-Gaussian confining potential. The resulting equation exhibits a nonstandard nonlinearity written in terms of the principal branch of the Lambert W function. This equation appropriately encompasses the correct limits within the Thomas-Fermi (TF) and perturbative regimes. The validity of our findings was established through a comparative analysis with numerical solutions derived from the complete three-dimensional Gross-Pitaevskii equation, including those about the limiting cases encountered in the TF and perturbative regimes.
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页数：9
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