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Off-axis vortices in trapped Bose-condensed gases: Angular momentum and frequency splitting
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We consider noncentered vortices and their arrays in a cylindrically trapped Bose-Einstein condensate at zero temperature. We study the kinetic energy and the angular momentum per particle in the Thomas-Fermi regime and their dependence on the distance of the vortices from the center of the trap. Using a perturbative approach with respect to the velocity field of the vortices, we calculate, to first order, the frequency shift of the collective low-lying excitations due to the presence of an off-center vortex or a vortex array, and compare these results with predictions that would be obtained by the application of a simple sum-rule approach, previously found to be very successful for centered vortices. It turns out that the simple sum-rule approach fails for off-centered vortices.
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GUILLEUMAS, Montserrat and GRAHAM, R. (Robert). Off-axis vortices in trapped Bose-condensed gases: Angular momentum and frequency splitting. Physical Review A. 2001. Vol. 64, num. 3, pags. 033607. ISSN 1050-2947. [consulted: 3 of August of 2026]. Available at: https://hdl.handle.net/2445/9581