A biperiodically driven matter-wave nonautonomous deformed soliton

For a one-dimensional nonautonomous Gross-Pitaevskii system with biperiodically driven interatom interaction and external parabolic potential which satisfy the compatibility conditions (Serkin et al 2007 Phys. Rev. Lett. 98 074102), we derive a set of exact deformed-soliton solutions with amplitudes...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2012-11, Vol.45 (43), p.435003-11
Main Authors: Li, Zejun, Hai, Wenhua, Deng, Yan, Xie, Qiongtao
Format: Article
Language:English
Subjects:
Adjustment
Asymmetry
biperiodic driving
Bose-Einstein condensate
Bose-Einstein condensates
Deformation
deformed-soliton
Exact sciences and technology
Mathematical analysis
Mathematical models
nonautonomous system
Physics
Solitons
Temporal logic
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Summary:For a one-dimensional nonautonomous Gross-Pitaevskii system with biperiodically driven interatom interaction and external parabolic potential which satisfy the compatibility conditions (Serkin et al 2007 Phys. Rev. Lett. 98 074102), we derive a set of exact deformed-soliton solutions with amplitudes deviated from the standard hyperbolic-secant form, which describes different single-soliton characteristics of an attractive Bose-Einstein condensate. By defining a deformation factor adjusted by the number of condensed atoms, we find that the analytical height, width, position and velocity of the deformed soliton are controlled by the deformation factor. It is numerically shown that for asymmetric sawtooth driving the temporal ratchet effect can be induced or suppressed, even reversed, by adjusting the factor. The results offer a means of experimentally manipulating directed transports of the nonautonomous solitons.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/45/43/435003