The axial breathing mode in rapidly rotating Bose-Einstein condensates and uncertainty of the rotation velocity

Details The axial breathing mode in rapidly rotating Bose-Einstein condensates and uncertainty of the rotation velocity The axial breathing mode in rapidly rotating Bose-Einstein condensates and uncertainty of the rotation velocity

2005-12-14

arxiv.org/abs/cond-mat/0512317v3

Phys.Rev.A76:031601,2007

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures; this paper is related to cond-mat/0506331; accepted for publication in Phys. Rev. A Rapid Communications

Scientific paper

10.1103/PhysRevA.76.031601

Experiments on the axial breathing mode in a rapidly rotating Bose-Einstein condensate are examined. Assuming a cold cloud without thermal component, we show that errors due to defocus of an imaging camera in addition to an inclination of the rotational axis can lead to a significant underestimate of the rotation rate in the fast rotation limit; within these uncertainties, our theoretical prediction agrees with the experimental data. We also show that, in the fast rotation regime, the Thomas-Fermi theory, which is inapplicable there, underestimates the rotation rate. Underestimate of the rotation rate due to these effects would also partly explain a discrepancy between theory and experiment for the Tkachenko mode frequency in the fast rotation regime.

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