We study a rapidly rotating Bose–Einstein condensate confined to a finite trap in the framework of two-dimensional Gross–Pitaevskii theory in the strong coupling (Thomas–Fermi) limit. Denoting the coupling parameter by 1/ε^2 and the rotational velocity by \Omega, we evaluate exactly the next to the leading-order contribution to the ground-state energy in the parameter regime |log ε| \ll \Omega \ll 1/(ε^2|log ε|) with ε → 0. While the TF energy includes only the contribution of the centrifugal forces the next order corresponds to a lattice of vortices whose density is proportional to the rotational velocity.
CORREGGI M, & YNGVASON J (2008). Energy and vorticity in fast rotating Bose–Einstein condensates. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 41, 445002-445021.
Titolo: | Energy and vorticity in fast rotating Bose–Einstein condensates |
Autori: | |
Data di pubblicazione: | 2008 |
Rivista: | |
Citazione: | CORREGGI M, & YNGVASON J (2008). Energy and vorticity in fast rotating Bose–Einstein condensates. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 41, 445002-445021. |
Abstract: | We study a rapidly rotating Bose–Einstein condensate confined to a finite trap in the framework of two-dimensional Gross–Pitaevskii theory in the strong coupling (Thomas–Fermi) limit. Denoting the coupling parameter by 1/ε^2 and the rotational velocity by \Omega, we evaluate exactly the next to the leading-order contribution to the ground-state energy in the parameter regime |log ε| \ll \Omega \ll 1/(ε^2|log ε|) with ε → 0. While the TF energy includes only the contribution of the centrifugal forces the next order corresponds to a lattice of vortices whose density is proportional to the rotational velocity. |
Handle: | http://hdl.handle.net/11590/139664 |
Appare nelle tipologie: | 1.1 Articolo in rivista |