APS » PROLA » Phys. Rev. Lett. » Volume 91 » Issue 11

Phys. Rev. Lett. 91, 110402 (2003) [4 pages]

Tkachenko Modes of Vortex Lattices in Rapidly Rotating Bose-Einstein Condensates
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Gordon Baym
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA

Received 13 May 2003; published 9 September 2003

We calculate the in-plane modes of the vortex lattice in a rotating Bose condensate, from the slowly rotating to mean-field quantum Hall limits. The Tkachenko mode frequency, linear in wave vector k for lattice rotational velocities Ω much smaller than the lowest sound wave frequency in a finite system, becomes quadratic in k in the opposite limit. The system also supports an inertial mode of frequency ≥2Ω. The calculated frequencies are in excellent agreement with recent observations of Tkachenko modes by I. Coddington, P. Engels, V. Schweikhard, and E. A. Cornell, Phys. Rev. Lett. 91, 100402 (2003).


©2003 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v91/e110402
DOI: 10.1103/PhysRevLett.91.110402
PACS: 03.75.Hh, 05.30.Jp, 67.40.Db, 67.40.Vs

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