Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-05-09
Phys. Rev. A 77 (2007) 033612
Physics
Condensed Matter
Other Condensed Matter
10 pages, 4 figures. Submitted to PRA, May 2007
Scientific paper
10.1103/PhysRevA.77.033612
We present bright-dark vector solitons in quasi-one-dimensional spinor (F=1) Bose-Einstein condensates. Using a multiscale expansion technique, we reduce the corresponding nonintegrable system of three coupled Gross-Pitaevskii equations (GPEs) to a completely integrable Yajima-Oikawa system. In this way, we obtain approximate solutions for small-amplitude vector solitons of dark-dark-bright and bright-bright-dark types, in terms of the $m_{F}=+1,-1,0$ spinor components, respectively. By means of numerical simulations of the full GPE system, we demonstrate that these states indeed feature soliton properties, i.e., they propagate undistorted and undergo quasi-elastic collisions. It is also shown that, in the presence of a parabolic trap of strength $\omega $, the bright component(s) is (are) guided by the dark one(s), and, as a result, the small-amplitude vector soliton as a whole performs harmonic oscillations of frequency $\omega/ \sqrt{2}$ in the shallow soliton limit. We investigate numerically deviations from this prediction, as the depth of the solitons is increased, as well as when the strength of the spin-dependent interaction is modified.
Carretero-González Ricardo
Frantzeskakis Dimitri J.
Kevrekidis Panagiotis G.
Malomed Boris A.
Nistazakis Hector E.
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