Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2004-01-26
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 2 figures
Scientific paper
10.1103/PhysRevLett.92.220401
The elastic oscillations of the vortex lattice of a cold Bose gas (Tkachenko modes) are shown to play a crucial role in the saturation of the compressibility sum rule, as a consequence of the hybridization with the longitudinal degrees of freedom. The presence of the vortex lattice is responsible for a $q^2$ behavior of the static structure factor at small wavevectors $q$, which implies the absence of long range order in 2D configurations at zero temperature. Sum rules are used to calculate the Tkachenko frequency in the presence of harmonic trapping. Results are derived in the Thomas-Fermi regime and compared with experiments as well as with previous theoretical estimates.
Cozzini Marco
Pitaevskii Lev P.
Stringari Sandro
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