Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates

被引：0
作者：
M. Correggi
N. Rougerie
机构：
[1] Università degli Studi Roma Tre,Dipartimento di Matematica
[2] Université de Grenoble 1 and CNRS,undefined
[3] LPMMC,undefined
[4] Maison des Magistères CNRS,undefined
来源：
Communications in Mathematical Physics | 2013年 / 321卷
关键词：
Vortex; Ground State Energy; Critical Speed; Obstacle Problem; Vortex Lattice;
D O I：
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中图分类号：
学科分类号：
摘要：
We consider a 2D rotating Bose gas described by the Gross-Pitaevskii (GP) theory and investigate the properties of the ground state of the theory for rotational speeds close to the critical speed for vortex nucleation. While one could expect that the vortex distribution should be homogeneous within the condensate we prove by means of an asymptotic analysis in the strongly interacting (Thomas-Fermi) regime that it is not. More precisely we rigorously derive a formula due to Sheehy and Radzihovsky (Phys Rev A 70:063620(R), 2004) for the vortex distribution, a consequence of which is that the vortex distribution is strongly inhomogeneous close to the critical speed and gradually homogenizes when the rotation speed is increased.
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页码：817 / 860
页数：43
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