Atomic,Molecular, and Optical Physics

An efficient algorithm for solving time-dependent Gross-Pitaevskii equation

  • Lisha SHU ,
  • Guangjiong DONG
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  • State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China

Received date: 2023-05-09

  Online published: 2024-05-25

Abstract

The Gross-Pitaevskii equation is widely applied in Bose-Einstein condensate research, yet is rarely analytically determined; thus, it is important to develop a numerical method with high precision to resolve this. Accordingly, a numerical method was developed in this work, considering the splitting step method, Crank-Nicolson algorithm, and Numerov algorithm with four-order accuracy. The corresponding test shows that compared with the finite difference method using five points, the proposed algorithm is more efficient and costs less memory.

Cite this article

Lisha SHU , Guangjiong DONG . An efficient algorithm for solving time-dependent Gross-Pitaevskii equation[J]. Journal of East China Normal University(Natural Science), 2024 , 2024(3) : 84 -90 . DOI: 10.3969/j.issn.1000-5641.2024.03.009

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