Analytical solutions to the spinor Bose-Einstein condensates

Details Analytical solutions to the spinor Bose-Einstein condensates Analytical solutions to the spinor Bose-Einstein condensates

2012-02-15

arxiv.org/abs/1202.3197v1

Physics

Condensed Matter

Quantum Gases

5 pages, 6 figures

Scientific paper

We propose a method to analytically solve the one-dimensional coupled nonlinear Gross-Pitaevskii equations which govern the motion of the spinor Bose-Einstein condensates. Classes of exact stationary solutions for the F=1 and F=2 condensates are obtained, from which the soliton complexes are naturally produced and classified. The spin polarizations exhibit parallel or kinked spin density waves. Our method is also applicable to other coupled nonlinear systems in quantum as well as in classical physics.

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