CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2009, Vol. 26 ›› Issue (4): 617-623.

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Numerical Solution of Two-dimensional Gross-Pitaevskii Equation for Bose-Einstein Condensation in a Non-harmonic Trap

SUN Changyong, ZHOU Yuxin, XIA Qingfeng, ZHAO Jiangang   

  1. School of Physics & Information Engineering, Liaocheng University, Liaocheng 252059, China
  • Received:2008-01-21 Revised:2008-06-18 Online:2009-07-25 Published:2009-07-25
  • Supported by:
    Supported bythe National Natural Science Foundationof China(Grant No.10574060);the Natural Science Foundationof Shandong Province(Grant No.Q2007A01)

Abstract: A two-dimensional Gross-Pitaevskii equation describing Bose-Einstein condensation in an axial symmetry nonharmonic trap is solved.Converged wave functions,chemical potentials,and internal energies in Bose-Einstein condensation are obtained.Ground-state of Bese-Einstein condensation with atomic interaction is investigated.A comparison between harmonic and non-harmonic traps is reported.

Key words: Bose-Einstein condensation, Gross-Pitaevskii equation, non-harmonic trap

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