Ground State and Tkachenko Modes of a Rapidly Rotating Bose-Einstein Condensate in the Lowest Landau Level State
arXiv:cond-mat/0411641 · doi:10.1103/PhysRevA.72.021606
Abstract
The Letter considers the ground state and the Tkachenko modes for a rapidly rotating Bose-Einstein condensate (BEC), when its macroscopic wave function is a coherent superposition of states analogous to the lowest Landau levels of a charge in a magnetic field. As well as in type II superconductors close to the critical magnetic field , this corresponds to a periodic vortex lattice. The exact value of the shear elastic modulus of the vortex lattice, which was known from the old works on type II superconductors, essentially exceeds the values calculated recently for BEC. This is important for comparison with observation of the Tkachenko mode in the rapidly rotating BEC.
5 pages, 1 figure; discussion edited, references added, numerical factors and typos corrected
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- Exact Tkachenko modes and their damping in the vortex lattice regime of rapidly rotating bosons
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- Dislocation-Mediated Melting in Superfluid Vortex Lattices
- Fractional Spin Hall Effect in Atomic Bose Gases
- Thermalized Abrikosov lattices from decaying turbulence in rotating BECs
- Theory of vortex-lattice melting in a one-dimensional optical lattice
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- Quantum Fluctuations of Vortex Lattices in Ultracold Gases
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- Numerical method for the projected Gross--Pitaevskii equation in an infinite rotating 2D Bose gas
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- Effective field theory for the superfluid vortex lattice from coset construction
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