Vortex lattices in Bose-Einstein condensates: From the Thomas-Fermi regime to the lowest-Landau-level regime

被引:14
|
作者
Cozzini, M [1 ]
Stringari, S
Tozzo, C
机构
[1] Univ Trent, Dipartimento Fis, I-38050 Trento, Italy
[2] CNR, INFM, BEC Ctr, I-38050 Trento, Italy
来源
PHYSICAL REVIEW A | 2006年 / 73卷 / 02期
关键词
D O I
10.1103/PhysRevA.73.023615
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider a periodic vortex lattice in a rotating Bose-Einstein-condensed gas, where the centrifugal potential is exactly compensated by the external harmonic trap. By introducing a gauge transformation which makes the Hamiltonian periodic, we numerically solve the two-dimensional (2D) Gross-Pitaevskii equation finding the exact mean field ground state. In particular, we explore the crossover between the Thomas-Fermi regime, holding for large values of the coupling constant, and the lowest Landau level limit, corresponding to the weakly interacting case. Explicit results are given for the equation of state, the vortex core size, as well as the elastic shear modulus, which is crucial for the calculation of the Tkachenko frequencies.
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页数:4
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