Multicomponent Bright Solitons in F = 2 Spinor Bose-Einstein Condensates

Abstract

We study soliton solutions for the Gross--Pitaevskii equation of the spinor Bose--Einstein condensates with hyperfine spin F=2 in one-dimension. Analyses are made in two ways: by assuming single-mode amplitudes and by generalizing Hirota's direct method for multi-components. We obtain one-solitons of single-peak type in the ferromagnetic, polar and cyclic states, respectively. Moreover, twin-peak type solitons both in the ferromagnetic and the polar state are found.

15 pages, 8 figures

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• On nonlocal models of Kulish-Sklyanin type and generalized Fourier transforms
• Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations
• Bose-Einstein condensates with F=1 and F=2. Reductions and soliton interactions of multi-component NLS models
• Continuous-wave solutions and modulational instability in spinor condensates of positronium