Collective oscillations of vortex lattices in rotating Bose-Einstein condensates

The complete low-energy collective-excitation spectrum of vortex lattices is discussed for rotating Bose-Einstein condensates by solving the Bogoliubov-de Gennes equation, yielding, e.g., the Tkachenko mode recently observed at JILA. The totally symmetric subset of these modes includes the transvers...

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Bibliographic Details
Published in:Physical review letters 2004-02, Vol.92 (6), p.060407-060407, Article 060407
Main Authors: Mizushima, T, Kawaguchi, Y, Machida, K, Ohmi, T, Isoshima, T, Salomaa, M M
Format: Article
Language:English
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Summary:The complete low-energy collective-excitation spectrum of vortex lattices is discussed for rotating Bose-Einstein condensates by solving the Bogoliubov-de Gennes equation, yielding, e.g., the Tkachenko mode recently observed at JILA. The totally symmetric subset of these modes includes the transverse shear, common longitudinal, and differential longitudinal modes. We also solve the time-dependent Gross-Pitaevskii equation to simulate the actual JILA experiment, obtaining the Tkachenko mode and identifying a pair of breathing modes. Combining both approaches allows one to unambiguously identify every observed mode.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.92.060407