Breathing mode of rapidly rotating Bose-Einstein condensates
- 19 January 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 73 (1), 013616
- https://doi.org/10.1103/physreva.73.013616
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 , where 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 and the result for the axial breathing mode frequency agrees with recent experimental data in the rapid rotation regime.
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