中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3221-3225.doi: 10.1088/1674-1056/18/8/021

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Effects of three-body interaction on collective excitation and stability of Bose--Einstein condensate

彭娉, 李冠强   

  1. Faculty of Science, Shaanxi University of Science and Technology, Xi'an 710021, China
  • 收稿日期:2008-10-24 修回日期:2008-11-27 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Shaanxi University of Science and Technology, China (Grant Nos SUST-ZX08-27 and SUST-ZX07-32).

Effects of three-body interaction on collective excitation and stability of Bose--Einstein condensate

Peng Ping(彭娉) and Li Guan-Qiang(李冠强)†   

  1. Faculty of Science, Shaanxi University of Science and Technology, Xi'an 710021, China
  • Received:2008-10-24 Revised:2008-11-27 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported by the Natural Science Foundation of Shaanxi University of Science and Technology, China (Grant Nos SUST-ZX08-27 and SUST-ZX07-32).

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摘要： This paper investigates the collective excitation and stability of low-dimensional Bose--Einstein condensates with two- and three-body interactions by the variational analysis of the time-dependent Gross--Pitaevskii--Ginzburg equation. The spectrum of the low-energy excitation and the effective potential for the width of the condensate are obtained. The results show that: (i) the repulsive two-body interaction among atoms makes the frequency red-shifted for the internal excitation and the repulsive or attractive three-body interaction always makes it blue-shifted; (ii) the region for the existence of the stable bound states is obtained by identifying the critical value of the two- and three-body interactions.

Abstract: This paper investigates the collective excitation and stability of low-dimensional Bose--Einstein condensates with two- and three-body interactions by the variational analysis of the time-dependent Gross--Pitaevskii--Ginzburg equation. The spectrum of the low-energy excitation and the effective potential for the width of the condensate are obtained. The results show that: (i) the repulsive two-body interaction among atoms makes the frequency red-shifted for the internal excitation and the repulsive or attractive three-body interaction always makes it blue-shifted; (ii) the region for the existence of the stable bound states is obtained by identifying the critical value of the two- and three-body interactions.

Key words: Bose--Einstein condensate, three-body interaction, collective excitation, stable bound states

中图分类号:  (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

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