Publication Date
2008
Journal or Book Title
PHYSICAL REVIEW A
Abstract
We consider vector solitons of mixed bright-dark types 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 an 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 mF=+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 quasielastic collisions. It is also shown that in the presence of a parabolic trap 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 quasiharmonic oscillations. The oscillation frequency is found as a function of the spin-dependent interaction strength for both small-amplitude and large-amplitude solitons.
Pages
-
Volume
77
Issue
3
Recommended Citation
Nistazakis, HE; Frantzeskakis, DJ; Kevrekidis, PG; Malomed, BA; and Carretero-Gonzalez, R, "Bright-dark soliton complexes in spinor Bose-Einstein condensates" (2008). PHYSICAL REVIEW A. 92.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/92
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://pra.aps.org/abstract/PRA/v77/i3/e033612