中国物理B ›› 2007, Vol. 16 ›› Issue (11): 3197-3203.doi: 10.1088/1009-1963/16/11/009

• GENERAL • 上一篇    下一篇

The stability of Bose--Einstein condensates in a two-dimensional shallow trap

周小燕, 穆爱霞, 薛具奎   

  1. College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2007-02-10 修回日期:2007-04-16 出版日期:2007-11-20 发布日期:2007-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10475066 and 10774120), and by the Natural Science Foundation of Gansu Province, China (Grant No 3ZS051-A25-013) and by Creation of Science and Technology of Northwest Normal

The stability of Bose--Einstein condensates in a two-dimensional shallow trap

Zhou Xiao-Yan(周小燕), Mu Ai-Xia(穆爱霞), and Xue Ju-Kui(薛具奎)†   

  1. College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
  • Received:2007-02-10 Revised:2007-04-16 Online:2007-11-20 Published:2007-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10475066 and 10774120), and by the Natural Science Foundation of Gansu Province, China (Grant No 3ZS051-A25-013) and by Creation of Science and Technology of Northwest Normal

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摘要： The stability of Bose--Einstein condensates (BECs) loaded into a two-dimensional shallow harmonic potential well is studied. By using the variational method, the ground state properties for interacting BECs in the shallow trap are discussed. It is shown that the possible stable bound state can exist. The depth of the shallow well plays an important role in stabilizing the BECs. The stability of BECs in the shallow trap with the periodic modulating of atom interaction by using the Feshbach resonance is also discussed. The results show that the collapse and diffusion of BECs in a shallow trap can be controlled by the temporal modulation of the scattering length.

Abstract: The stability of Bose--Einstein condensates (BECs) loaded into a two-dimensional shallow harmonic potential well is studied. By using the variational method, the ground state properties for interacting BECs in the shallow trap are discussed. It is shown that the possible stable bound state can exist. The depth of the shallow well plays an important role in stabilizing the BECs. The stability of BECs in the shallow trap with the periodic modulating of atom interaction by using the Feshbach resonance is also discussed. The results show that the collapse and diffusion of BECs in a shallow trap can be controlled by the temporal modulation of the scattering length.

Key words: Bose--Einstein condensates, shallow harmonic potential well, stability

中图分类号:  (Other Bose-Einstein condensation phenomena)

  • 03.75.Nt
37.10.De (Atom cooling methods)