中国物理B ›› 2004, Vol. 13 ›› Issue (12): 2030-2037.doi: 10.1088/1009-1963/13/12/010

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Ground state properties of a Bose－Einstein condensate confined in an anharmonic external potential

王登龙1, 唐翌1, 颜晓红2   

  1. (1)Department of Physics and Key Laboratory for Advanced Materials and Rhelogical Properties of Ministry of Education, Xiangtan University, Xiangtan 411105, China; (2)Department of Physics and Key Laboratory for Advanced Materials and Rhelogical Properties of Ministry of Education, Xiangtan University, Xiangtan 411105, China; College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangs
  • 收稿日期:2003-05-09 修回日期:2004-07-30 出版日期:2004-12-17 发布日期:2005-03-17
  • 基金资助:
    Project supported by the Key Foundation for Science & Technology from the Ministry of Education of China (Grant No 204099) and partly by the Scientific Research Foundation of the Education Bureau of Hunan Province, China (Grant Nos 03C466 and 03A06).

Ground state properties of a Bose－Einstein condensate confined in an anharmonic external potential

Wang Deng-Long (王登龙)a, Yan Xiao-Hong (颜晓红)ab, Tang Yi (唐翌)a   

  1. a Department of Physics and Key Laboratory for Advanced Materials and Rhelogical Properties of Ministry of Education, Xiangtan University, Xiangtan 411105, China; b College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu, China
  • Received:2003-05-09 Revised:2004-07-30 Online:2004-12-17 Published:2005-03-17
  • Supported by:
    Project supported by the Key Foundation for Science & Technology from the Ministry of Education of China (Grant No 204099) and partly by the Scientific Research Foundation of the Education Bureau of Hunan Province, China (Grant Nos 03C466 and 03A06).

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摘要： In light of the interference experiment of Bose－Einstein condensates, we present an anharmonic external potential model to study ground state properties of Bose－Einstein condensates. The ground state energy and the chemical potential have been analytically obtained, which are lower than those in harmonic trap. Additionally, it is found that the anharmonic strength of the external potential has an important effect on density and velocity distributions of the ground state for the Thomas－Fermi model.

关键词: Bose－Einstein condensates, anharmonic external potential, ground state properties

Abstract: In light of the interference experiment of Bose－Einstein condensates, we present an anharmonic external potential model to study ground state properties of Bose－Einstein condensates. The ground state energy and the chemical potential have been analytically obtained, which are lower than those in harmonic trap. Additionally, it is found that the anharmonic strength of the external potential has an important effect on density and velocity distributions of the ground state for the Thomas－Fermi model.

Key words: Bose－Einstein condensates, anharmonic external potential, ground state properties

中图分类号:  (Static properties of condensates; thermodynamical, statistical, and structural properties)

  • 03.75.Hh
05.30.Jp (Boson systems)