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

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...

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Bibliographic Details
Published in:arXiv.org 2008-10
Main Authors: Mink, M P, C Morais Smith, Duine, R A
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Matter & antimatter
Maxima
Optical lattices
Phase diagrams
Pinning
Rotation
Vortices
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Summary: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 \(\Omega\) of the condensate in a radially symmetric trap approaches the (radial) trapping frequency \(\omega\) 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.
ISSN:2331-8422
DOI:10.48550/arxiv.0810.5275