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→0. We derive rigorously the leading asymptotics of the ground state energy and the density profile when the rotation velocity tends to infinity as a power of 1/\epsilon. The case of asymptotically homogeneous potentials is also discussed.

Correggi, M., RINDLER DALLER, T., Yngvason, J. (2007). Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps. JOURNAL OF MATHEMATICAL PHYSICS, 48, 102103-1-102103-17 [10.1063/1.2789557].

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
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Correggi, M., RINDLER DALLER, T., Yngvason, J. (2007). Rapidly Rotating Bose-Einstein Condensates in Homogeneous Traps. JOURNAL OF MATHEMATICAL PHYSICS, 48, 102103-1-102103-17 [10.1063/1.2789557].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/149261
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