Distribution of eigenfrequencies for oscillations of the ground state in the Thomas--Fermi limit
arXiv:0911.5313 · doi:10.1103/PhysRevA.81.023627
Abstract
In this work, we present a systematic derivation of the distribution of eigenfrequencies for oscillations of the ground state of a repulsive Bose-Einstein condensate in the semi-classical (Thomas-Fermi) limit. Our calculations are performed in 1-, 2- and 3-dimensional settings. Connections with the earlier work of Stringari, with numerical computations, and with theoretical expectations for invariant frequencies based on symmetry principles are also given.
8 pages, 1 figure
References in corpus (4)
- Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
- Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
- Exact solutions and stability of rotating dipolar Bose-Einstein condensates in the Thomas-Fermi limit
- Periodic oscillations of dark solitons in parabolic potentials
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