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Phys. Rev. A 76, 063603 (2007) [8 pages]

Polarized states and domain walls in spinor Bose-Einstein condensates

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H. E. Nistazakis1, D. J. Frantzeskakis1, P. G. Kevrekidis2, B. A. Malomed3, R. Carretero-González4, and A. R. Bishop5
1Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA
3Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
4Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics and Computational Science Research Center, San Diego State University, San Diego, California 92182-7720, USA
5Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Received 21 June 2007; published 4 December 2007

We study spin-polarized states and their stability in the antiferromagnetic phase of spinor (F=1) quasi-one-dimensional Bose-Einstein condensates. Using analytical approximations and numerical methods, we find various types of polarized states, including patterns of the Thomas-Fermi type, structures featuring a pulse in one component inducing a hole in the other components, states with holes in all three components, and domain walls (DWs). The stability analysis based on the Bogoliubov–de Gennes equations reveals intervals of weak oscillatory instability in families of these states, except for the DWs, which are always stable. The development of the instabilities is examined by means of direct simulations.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.063603
DOI:
10.1103/PhysRevA.76.063603
PACS:
03.75.Mn, 03.75.Hh, 03.75.Kk
 
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