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Numerical solution to the time-independent Gross-Pitaevskii equation

Atomic Physics 2022-04-21 v1

Abstract

We solve the time-independent Gross-Pitaevskii equation modeling the Bose-Einstein condensate trapped in an anistropic harmonic potential using a pseudospectral method. Numerically obtained values for an energy and a chemical potential for the condensate with positive and negative scattering length have been compared with those from the literature. The results show that they are in good agreement when an atomic interaction is not too strong.

Keywords

Cite

@article{arxiv.2204.09189,
  title  = {Numerical solution to the time-independent Gross-Pitaevskii equation},
  author = {Tsogbayar Tsednee and Banzragch Tsednee and Tsookhuu Khinayat},
  journal= {arXiv preprint arXiv:2204.09189},
  year   = {2022}
}

Comments

7 pages, 4 figures