Elementary excitation families and their frequency ordering in cylindrically symmetric Bose-Einstein condensates

Details Elementary excitation families and their frequency ordering in cylindrically symmetric Bose-Einstein condensates Elementary excitation families and their frequency ordering in cylindrically symmetric Bose-Einstein condensates

2000-12-15

arxiv.org/abs/cond-mat/0012283v2

J. Phys. B 34, 1523-1534 (2001)

Physics

Condensed Matter

15 pages, 8 figures; abstract complemented, section 4.2 shortened, references corrected; to be published in J. Phys. B

Scientific paper

10.1088/0953-4075/34/8/315

We present a systematic classification of the elementary excitations of Bose-Einstein condensates in cylindrical traps in terms of their shapes. The classification generalizes the concept of families of excitations first identified by Hutchinson and Zaremba (1998) Phys. Rev. A 57 1280 by introducing a second classification number that allows all possible modes to be assigned to a family. We relate the energy ordering of the modes to their family classification, and provide a simple model which explains the relationship.

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