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arXiv · 1202.3197

Analytical solutions to the spin-1 Bose-Einstein condensates

Zhi-Hai Zhang·Cong Zhang·Shi-Jie Yang·Shiping Feng
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Abstract

We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of F=1 spinor Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of the Jacobian elliptical functions. Several types of complex stationary solutions are deduced. Furthermore, exact non-stationary solutions to the time-dependent Gross-Pitaevskii equations are constructed by making use of the spin-rotational symmetry of the Hamiltonian. The spin-polarizations exhibit kinked configurations. Our method is applicable to other coupled nonlinear systems.

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Zhi-Hai Zhang, Cong Zhang, Shi-Jie Yang, Shiping Feng. 2012-02-15. Analytical solutions to the spin-1 Bose-Einstein condensates. https://doi.org/10.1088/0953-4075/45/21/215302

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