Effects of periodic optical lattice potential on dark solitons in a Bose Einstein condensate |
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Authors: | Li Hong and Wang Dong-Ning |
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Institution: | School of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China; School of Mechanical and Electronic Engineering, Huangshi Institute of Technology, Huangshi 435003, China; Department of Electrical Engineering, Hong Kong Polytechnic University, Hong Kong, China |
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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. |
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Keywords: | Bose--Einstein condensate dark soliton magnetic potential optical lattice
potential |
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