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Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials

Alexander L. Fetter
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Abstract

A dense vortex lattice in a rotating dilute Bose-Einstein condensate is studied with the Thomas-Fermi approximation. The upper critical angular velocity Omega_{c2} occurs when the intervortex separation b becomes comparable with the vortex core radius xi. For a radial harmonic trap, the loss of confinement as Omega approaches omega_perp implies a singular behavior. In contrast, an additional radial quartic potential provides a simple model for which Omega_{c2} is readily determined. Unlike the case of a type-II superconductor at fixed temperature, the onset of Omega_{c2} arises not only from decreasing b but also from increasing xi caused by the vanishing of the chemical potential as Omega approaches Omega_{c2}.

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Alexander L. Fetter. 2001-09-21. Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials. https://doi.org/10.1103/physreva.64.063608

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