Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps

Correggi, M.; Rindler-Daller, T.; Yngvason, J.

Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps

Authors

Correggi, M.

Rindler-Daller, T.

Yngvason, J.

Description

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.
LaTex2e, 16 pages