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

References in corpus (5)

• Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
• A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas
• Vortex states of rapidly rotating dilute Bose-Einstein condensates
• Gross-Pitaevskii Theory of the Rotating Bose Gas
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Cited by in corpus (10)

• The Transition to a Giant Vortex Phase in a Fast Rotating Bose-Einstein Condensate
• Energy and Vorticity in Fast Rotating Bose-Einstein Condensates
• Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
• Critical Rotational Speeds for Superfluids in Homogeneous Traps
• The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps
• Vortex Rings in Fast Rotating Bose-Einstein Condensates
• Vortex Phases of Rotating Superfluids
• On the Third Critical Speed for Rotating Bose-Einstein Condensates
• Surface Effects in Superconductors with Corners
• Bosons in Rapid Rotation