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Physica C Superconductivity

Vortices in rotating trapped dilute Bose–Einstein condensates

Alexander L. Fetter

Published Mar 17, 2004• 8 citations
Publisher
DOI
10.1016/j.physc.2003.09.104

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We study the formation of vortices in a dilute Bose-Einstein condensate confined in a rotating anisotropic trap. We find that the number of vortices and angular momentum attained by the condensate depend upon the rotation history of the trap and on the number of vortices present in the condensate initially. A simplified model based on hydrodynamic equations is developed, and used to explain this effect in terms of a shift in the resonance frequency of the quadrupole mode of the condensate in the presence of a vortex lattice. Differences between the spin-up and spin-down response of the condensate are found, demonstrating hysteresis phenomena in this system.