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Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates | | Gentaro Watanabe
; Gordon Baym
; C. J. Pethick
; | | Date: |
18 Mar 2004 | | Journal: | Phys.Rev.Lett. 93 (2004) 190401 | | Subject: | Soft Condensed Matter; Mesoscopic Systems and Quantum Hall Effect | cond-mat.soft cond-mat.mes-hall nucl-th | | Abstract: | We show that, within mean-field theory, the density profile of a rapidly rotating harmonically trapped Bose-Einstein condensate is of the Thomas-Fermi form as long as the number of vortices is much larger than unity. Two forms of the condensate wave function are explored: i) the lowest Landau level (LLL) wave function with a regular lattice of vortices multiplied by a slowly varying envelope function, which gives rise to components in higher Landau levels; ii) the LLL wave function with a nonuniform vortex lattice. From variational calculations we find it most favorable energetically to retain the LLL form of the wave function but to allow the vortices to deviate slightly from a regular lattice. The predicted distortions of the lattice are small, but in accord with recent measurements at lower rates of rotation. | | Source: | arXiv, cond-mat/0403470 | | Other source: | [GID 567895] pmid15600812 | | Services: | Forum | Review | PDF | Favorites | |
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