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Distribution of eigenfrequencies for oscillations of the ground state in the Thomas--Fermi limit

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.

preprint2009arXivOpen access
P. G. KevrekidisD. E. Pelinovsky
cond-mat.quant-gas
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P. G. KevrekidisD. E. Pelinovsky

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