Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps

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dc.creatorCorreggi, M.
dc.creatorRindler-Daller, T.
dc.creatorYngvason, J.
dc.date2007-07-11
dc.date.accessioned2026-07-07T08:35:16Z
dc.date.available2026-07-07T08:35:16Z
dc.descriptionWe extend the results of a previous paper on the Gross-Pitaevskii description of rotating Bose-Einstein condensates in two-dimensional traps to confining potentials of the form V(r) = r^s, $2<s <\infty$. Writing the coupling constant as $1/ε^2$ we study the limit $ε\to 0$. We derive rigorously the leading asymptotics of the ground state energy and the density profile when the rotation velocity Ωtends to infinity as a power of $1/ε$. The case of asymptotically homogeneous potentials is also discussed.
dc.descriptionLaTex2e, 16 pages
dc.identifierhttps://arxiv.org/abs/0707.1568
dc.identifierhttp://arxiv.org/abs/0707.1568
dc.identifierJ. Math. Phys. 48, 102103 (2007)
dc.identifierdoi:10.1063/1.2789557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139695
dc.subjectMathematical Physics
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.subject35Q55; 47J30; 76M23
dc.titleRapidly Rotating Bose-Einstein Condensates in Homogeneous Traps
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