Longitudinal sound mode of a Bose-Einstein condensate in an optical lattice
arXiv:cond-mat/0308626 · doi:10.1103/PhysRevA.69.023608
Abstract
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.
13 pages, 5 figures
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- High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices
- Collective excitations of a trapped Bose-Einstein condensate in the presence of weak disorder and a two-dimensional optical lattice
- Oscillations of Bose condensates in a one-dimensional optical superlattice
- Velocity of sound in a Bose-Einstein condensate in the presence of an optical lattice and transverse confinement
- Multibranch Bogoliubov-Bloch spectrum of a cigar shaped Bose condensate in an optical lattice
- Using modified Gaussian distribution to study the physical properties of one and two-component ultracold atoms
- Unusual behavior of sound velocity of a Bose gas in an optical superlattice at quasi-one-dimension
- Bragg spectroscopy of a cigar shaped Bose condensate in optical lattices