2005/06/30 by Gentaro Watanabe
Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.other #nucl-th
paper · pdf · doi:10.1103/physreva.73.013616
published as Phys.Rev. A73 (2006) 013616 · 10 pages, 3 figures. Extended discussion. see also cond-mat/0512317. Accepted for publication in Phys. Rev. A, one reference added
arxiv created 2006/01/14 · openalex publication_date 2006/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 2\ensuremathω_\ensuremath⊥, where \ensuremathω_\ensuremath⊥ 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.