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)=rs, 2<∞. Writing the coupling constant as 1/ε2, we study the limit ε→0. We derive rigorously the leading asymptotics of the ground state energy and the density profile when the rotation velocity Ω tends to infinity as a power of 1/ε. The case of asymptotically homogeneous potentials is also discussed. © 2007 American Institute of Physics.

Rapidly rotating Bose-Einstein condensates in homogeneous traps

Correggi M.;
2007-01-01

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)=rs, 2<∞. Writing the coupling constant as 1/ε2, we study the limit ε→0. We derive rigorously the leading asymptotics of the ground state energy and the density profile when the rotation velocity Ω tends to infinity as a power of 1/ε. The case of asymptotically homogeneous potentials is also discussed. © 2007 American Institute of Physics.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1134393
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