Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-02-20
Phys. Rev. Lett. 94, 050402 (2005)
Physics
Condensed Matter
Other Condensed Matter
4 pages, 2 figures
Scientific paper
10.1103/PhysRevLett.94.050402
We present a family of exact solutions of one-dimensional nonlinear Schr\"odinger equation, which describe the dynamics of a bright soliton in Bose-Einstein condensates with the time-dependent interatomic interaction in an expulsive parabolic potential. Our results show that, under the safe range of parameters, the bright soliton can be compressed into very high local matter densities by increasing the absolute value of atomic scattering length, which can provide an experimental tool for investigating the range of validity of the one-dimensional Gross-Pitaevskii equation. We also find that the number of atoms in the bright soliton keeps dynamic stability: a time-periodic atomic exchange is formed between the bright soliton and the background.
Liang Zhu-Xing
Liu Wei-Min
Zhang Zhen-Da
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