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arXiv · 0810.5275

Vortex-lattice pinning in two-component Bose-Einstein condensates

M. P. Mink·C. Morais Smith·R. A. Duine
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Abstract

We investigate the vortex-lattice structure for single- and two-component Bose-Einstein condensates in the presence of an optical lattice, which acts as a pinning potential for the vortices. The problem is considered in the mean-field quantum-Hall regime, which is reached when the rotation frequency $Ω$ of the condensate in a radially symmetric trap approaches the (radial) trapping frequency $ω$ and the interactions between the atoms are weak. We determine the vortex-lattice phase diagram as a function of optical-lattice strength and geometry. In the limit of strong pinning the vortices are always pinned at the maxima of the optical-lattice potential, similar to the slow-rotation case. At intermediate pinning strength, however, due to the competition between interactions and pinning energy, a structure arises for the two-component case where the vortices are pinned on lines of minimal potential.

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M. P. Mink, C. Morais Smith, R. A. Duine. 2008-10-29. Vortex-lattice pinning in two-component Bose-Einstein condensates. https://doi.org/10.1103/physreva.79.013605

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