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arXiv · 0707.1568

Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps

M. Correggi·T. Rindler-Daller·J. Yngvason
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Abstract

We 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.

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M. Correggi, T. Rindler-Daller, J. Yngvason. 2007-07-11. Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps. https://doi.org/10.1063/1.2789557

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