Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps

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 $1/{\epsilon }^2$ we study the limit $\epsilon \to 0$. 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 $1/\epsilon$. The case of asymptotically homogeneous potentials is also discussed.

LaTex2e, 16 pages

Cited by in corpus (1)

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