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Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap | | Alexander L. Fetter
; B. Jackson
; S. Stringari
; | | Date: |
6 Jul 2004 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | A two-dimensional rapidly rotating Bose-Einstein condensate in an anharmonic trap with quadratic and quartic radial confinement is studied analytically with the Thomas-Fermi approximation and numerically with the full time-independent Gross-Pitaevskii equation. The quartic trap potential allows the rotation speed $Omega$ to exceed the radial harmonic frequency $omega_perp$. In the regime $Omega gtrsim omega_perp$, the condensate contains a dense vortex array (approximated as solid-body rotation for the analytical studies). At a critical angular velocity $Omega_h$, a central hole appears in the condensate. Numerical studies confirm the predicted value of $Omega_h$, even for interaction parameters that are not in the Thomas-Fermi limit. The behavior is also investigated at larger angular velocities, where the system is expected to undergo a transition to a giant vortex (with pure irrotational flow). | | Source: | arXiv, cond-mat/0407119 | | Services: | Forum | Review | PDF | Favorites | |
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