Energy and Vorticity in Fast Rotating Bose-Einstein Condensates

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dc.creatorCorreggi, M.
dc.creatorYngvason, J.
dc.date2008-06-19
dc.date2008-08-30
dc.date.accessioned2026-07-07T12:13:15Z
dc.date.available2026-07-07T12:13:15Z
dc.descriptionWe 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 $1/\eps^2$ and the rotational velocity by $Ω$, we evaluate exactly the next to leading order contribution to the ground state energy in the parameter regime $|\log\eps|\ll Ω\ll 1/(\eps^2|\log\eps|)$ with $\eps\to 0$. 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.
dc.description19 pages, LaTeX; typos corrected, clarifying remarks added, some rearrangements in the text
dc.identifierhttps://arxiv.org/abs/0806.3191
dc.identifierhttp://arxiv.org/abs/0806.3191
dc.identifierJ. Phys. A: Math. Theor. 41 (2008), 445002.
dc.identifierdoi:10.1088/1751-8113/41/44/445002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210782
dc.subjectMathematical Physics
dc.subjectOther Condensed Matter
dc.subject35Q55,47J30,76M23
dc.titleEnergy and Vorticity in Fast Rotating Bose-Einstein Condensates
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