High precision solutions to quantized vortices within Gross–Pitaevskii equation

نویسندگان

چکیده

The dynamics of vortices in Bose-Einstein condensates dilute cold atoms can be well formulated by Gross-Pitaevskii equation. To better understand the properties vortices, a systematic method to solve nonlinear differential equation for vortex very high precision is proposed. Through two-point Pad$\acute{\text{e}}$ approximants, these solutions are presented terms simple rational functions, which used simulation dynamics. sensitive connecting parameter and truncation orders. It improved significantly with reasonable extension order functions. errors limitation approximants discussed. This investigation may shed light on exact solution

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ژورنال

عنوان ژورنال: Communications in Theoretical Physics

سال: 2022

ISSN: ['0253-6102', '1572-9494']

DOI: https://doi.org/10.1088/1572-9494/ac86bd