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Breathing mode of rapidly rotating Bose-Einstein condensates | Gentaro Watanabe
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14 Jun 2005 | Subject: | Other | cond-mat.other nucl-th | Abstract: | We show that the breathing mode of a rapidly-rotating, harmonically-trapped Bose-Einstein condensate may be described by a generalized lowest Landau level (LLL) wave function, in which the oscillator length is treated as a variable. Using this wave function in a variational Lagrangian formalism, we show that the frequency of the breathing mode for a two-dimensional cloud is $2omega_{perp}$, where $omega_{perp}$ is the trap frequency. We also study large-amplitude oscillations and confirm that the above result is not limited to linear oscillations. The resulting mode frequency can be understood in terms of orbits of a single particle in a harmonic trap. The mode frequency is also calculated for a cloud in three dimensions. | Source: | arXiv, cond-mat/0506331 | Services: | Forum | Review | PDF | Favorites |
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