Vortex solutions in atomic bose-einstein condensates via the adomian decomposition method

Tiberiu Harko, Man Kwong Mak, Chun Sing Leung

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)

Abstract

We study the dynamics of vortices with arbitrary topological charges in weakly interacting Bose-Einstein condensates using the Adomian Decomposition Method to solve the nonlinear Gross-Pitaevskii equation in polar coordinates. The solutions of the vortex equation are expressed in the form of infinite power series. The power series representations are compared with the exact numerical solutions of the Gross-Pitaevskii equation for the uniform and the harmonic potential, respectively. We find that there is a good agreement between the analytical and the numerical results.

Original languageEnglish
Article number116
Pages (from-to)1-10
Number of pages10
JournalRomanian Reports in Physics
Volume72
Issue number3
Publication statusPublished - Mar 2020

Keywords

  • Adomian Decomposition Method
  • Bose-Einstein Condensation
  • Vortex equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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