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.
Received: 24 October 2008
Revised: 27 November 2008
Accepted manuscript online:
PACS:
03.75.Kk
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
Fund: Project supported
by the Natural Science Foundation of Shaanxi University of Science
and
Technology, China (Grant Nos SUST-ZX08-27 and SUST-ZX07-32).
Cite this article:
Peng Ping(彭娉) and Li Guan-Qiang(李冠强) Effects of three-body interaction on collective excitation and stability of Bose--Einstein condensate 2009 Chin. Phys. B 18 3221
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