Effects of periodic optical lattice potential on dark solitons in a Bose--Einstein condensate
Li Hong(李宏)a)b)† and Wang Dong-Ning(王东宁)c)
a School of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China; b School of Mechanical and Electronic Engineering, Huangshi Institute of Technology, Huangshi 435003, China; c Department of Electrical Engineering, Hong Kong Polytechnic University, Hong Kong, China
Abstract This paper investigates the dynamics of dark solitons in a Bose--Einstein condensate with a magnetic trap and an optical lattice (OL) trap, and analyses the effects of the periodic OL potential on the dynamics by applying the variational approach based on the renormalized integrals of motion. The results show that the dark soliton becomes only a standing-wave and free propagation of the dark soliton is not possible when the periodic length of the OL potential is approximately equal to the effective width of the dark soliton. When the periodic length is very small or very large, the effects of the OL potential on the dark soliton will be sharply reduced. Finally, the numerical results confirm these theoretical findings.
Received: 18 March 2009
Revised: 31 March 2009
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
Fund: Project supported by the Research
Program of the Hong Kong Polytechnic University (Grant No A-PA2Q)
and the Scientific and Technological Research Program of Education
Department of Hubei Province, China (Grant No Z200722001).
Cite this article:
Li Hong(李宏) and Wang Dong-Ning(王东宁) Effects of periodic optical lattice potential on dark solitons in a Bose--Einstein condensate 2009 Chin. Phys. B 18 4726
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