Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-09-18
Phys. Rev. A 77, 021602(R) (2008)
Physics
Condensed Matter
Other Condensed Matter
5 pages, 1 figure; minor changes, now published as Phys. Rev. A 77, 021602(R) (2008)
Scientific paper
10.1103/PhysRevA.77.021602
We calculate the frequencies of the Tkachenko oscillations of a vortex lattice in a harmonically trapped superfluid Fermi gas. We use the elasto-hydrodynamic theory by properly accounting for the elastic constants, the Thomas-Fermi density profile of the atomic cloud, and the boundary conditions. Thanks to the Fermi pressure, which is responsible for larger cloud radii with respect to the case of dilute Bose-Einstein condensed gases, large vortex lattices are achievable in the unitary limit of infinite scattering length, even at relatively small angular velocities. This opens the possibility of experimentally observing vortex oscillations in the regime where the dispersion relation approaches the Tkachenko law for incompressible fluids and the mode frequency is almost comparable to the trapping frequencies.
Cozzini Marco
Stringari Sandro
Watanabe Gentaro
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