We study a rapidly rotating Bose–Einstein condensate confined to a finite trap in the framework of two-dimensional Gross–Pitaevskii theory in the strong coupling (Thomas–Fermi) limit. Denoting the coupling parameter by 1/ε^2 and the rotational velocity by \Omega, we evaluate exactly the next to the leading-order contribution to the ground-state energy in the parameter regime |log ε| \ll \Omega \ll 1/(ε^2|log ε|) with ε → 0. While the TF energy includes only the contribution of the centrifugal forces the next order corresponds to a lattice of vortices whose density is proportional to the rotational velocity.

Correggi, M., Yngvason, J. (2008). Energy and vorticity in fast rotating Bose–Einstein condensates. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 41, 445002-445021 [10.1088/1751-8113/41/44/445002].

### Energy and vorticity in fast rotating Bose–Einstein condensates

#### Abstract

We study a rapidly rotating Bose–Einstein condensate confined to a finite trap in the framework of two-dimensional Gross–Pitaevskii theory in the strong coupling (Thomas–Fermi) limit. Denoting the coupling parameter by 1/ε^2 and the rotational velocity by \Omega, we evaluate exactly the next to the leading-order contribution to the ground-state energy in the parameter regime |log ε| \ll \Omega \ll 1/(ε^2|log ε|) with ε → 0. While the TF energy includes only the contribution of the centrifugal forces the next order corresponds to a lattice of vortices whose density is proportional to the rotational velocity.
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Correggi, M., Yngvason, J. (2008). Energy and vorticity in fast rotating Bose–Einstein condensates. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 41, 445002-445021 [10.1088/1751-8113/41/44/445002].
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11590/139664`
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