Exact periodic and solitonic states in the spinor condensates
classification
❄️ cond-mat.quant-gas
keywords
condensatesexactperiodicsolitonicsolutionsspinoranalyticallyapproximations
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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. In a uniform external potential, the Hamiltonian comprises the kinetic energy, the linear and the quadratic Zeeman energies. Several classes of exact periodic and solitonic solutions, either in real or in complex forms, are obtained for both the F=1 and F=2 condensates. These solutions are general that contain neither approximations nor constraints on the system parameters.
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