Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-08-29
Physics
Condensed Matter
Soft Condensed Matter
13 pages, 5 figures
Scientific paper
10.1103/PhysRevA.69.023608
We examine the effect of the transverse breathing mode on the longitudinal sound propagation in a Bose-Einstein condensate in a one-dimensional optical lattice. In particular, we discuss how the coupling with the transverse breathing mode influences the sound velocity in an optical lattice. Using a variational approach we calculate the dispersion relations for the longitudinal sound mode and the transverse breathing mode analytically and find that the shift in the sound velocity from the uncoupled result can be large enough to be experimentally relevant. We also find that the effective mass of the transverse breathing mode is affected considerably by the coupling to longitudinal sound.
Martikainen Jani-Petri
Stoof Henk
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