Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap

doi:10.1088/1674-1056/21/12/120307

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120307-120307.doi: 10.1088/1674-1056/21/12/120307

Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap

石玉仁, 刘丛波, 王光辉, 周志刚

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

收稿日期:2012-04-30 修回日期:2012-05-29 出版日期:2012-11-01 发布日期:2012-11-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11047010) and the Key Project Foundation of the Education Ministry of China (Grant No. 209128).

Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap

Shi Yu-Ren (石玉仁), Liu Cong-Bo (刘丛波), Wang Guang-Hui (王光辉), Zhou Zhi-Gang (周志刚)

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

Received:2012-04-30 Revised:2012-05-29 Online:2012-11-01 Published:2012-11-01
Contact: Shi Yu-Ren E-mail:shiyr@nwnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11047010) and the Key Project Foundation of the Education Ministry of China (Grant No. 209128).

摘要/Abstract

摘要： The Homotopy Analysis Method (HAM) is adopted to find the approximate analytical solutions of the Gross-Pitaevskii equation, a nonlinear Schrödinger equation is used in simulation of Bose-Einstein condensates trapped in a harmonic potential. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they are agreement very well with each other when the atomic interaction is weakly.

关键词: Gross-Pitaevskii equation, homotopy analysis method, analytical solution

Abstract: The Homotopy Analysis Method (HAM) is adopted to find the approximate analytical solutions of the Gross-Pitaevskii equation, a nonlinear Schrödinger equation is used in simulation of Bose-Einstein condensates trapped in a harmonic potential. Comparisons between the analytical solutions and the numerical solutions have been made. The results indicate that they are agreement very well with each other when the atomic interaction is weakly.

Key words: Gross-Pitaevskii equation, homotopy analysis method, analytical solution

中图分类号:

03.75.Fi

05.30.Jp (Boson systems)

石玉仁, 刘丛波, 王光辉, 周志刚. Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap[J]. Chin. Phys. B, 2012, 21(12): 120307-120307.

Shi Yu-Ren (石玉仁), Liu Cong-Bo (刘丛波), Wang Guang-Hui (王光辉), Zhou Zhi-Gang (周志刚). Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap[J]. Chin. Phys. B, 2012, 21(12): 120307-120307.

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Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap

Application of the homotopy analysis method for the Gross-Pitaevskii equation with a harmonic trap

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