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.
Received: 10 February 2007
Revised: 16 April 2007
Accepted manuscript online:
Fund: 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
Cite this article:
Zhou Xiao-Yan(周小燕), Mu Ai-Xia(穆爱霞), and Xue Ju-Kui(薛具奎) The stability of Bose--Einstein condensates in a two-dimensional shallow trap 2007 Chinese Physics 16 3197
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