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Nucleation of solitary wave complexes in two-component mixture Bose-Einstein condensates

Natalia G. Berloff
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Abstract

Two-component mixtures of Bose-Einstein condensates are shown to support solitary wave complexes that move with a constant velocity preserving their form. I obtain the families of such solitary wave complexes in two-dimensional two-component mixture condensates. These solutions are classified according to the structure of the wavefunction in each component. I show that these complexes nucleate from the surface of the disk when it moves supercritically, therefore, suggesting a mechanism by which these waves can be obtained in condensates by a moving laser beam. The condition for such a nucleation is derived analytically. The flow for supercritical disk velocities is computed numerically. The process of a boundary layer separation with emission of either vortex pairs in each component or a vortex pair in one component and a ``slaved wave'' in the other component is elucidated.

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Natalia G. Berloff. 2004-12-29. Nucleation of solitary wave complexes in two-component mixture Bose-Einstein condensates. https://arxiv.org/abs/cond-mat/0412743

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