Bogoliubov sound speed in periodically modulated Bose-Einstein condensates

Details Bogoliubov sound speed in periodically modulated Bose-Einstein condensates Bogoliubov sound speed in periodically modulated Bose-Einstein condensates

2003-08-11

arxiv.org/abs/cond-mat/0308194v1

Physics

Condensed Matter

Soft Condensed Matter

16 pages, no figures

Scientific paper

10.1103/PhysRevA.68.053611

We study the Bogoliubov excitations of a Bose-condensed gas in an optical lattice. Of primary interest is the long wavelength phonon dispersion for both current-free and current-carrying condensates. We obtain the dispersion relation by carrying out a systematic expansion of the Bogoliubov equations in powers of the phonon wave vector. Our result for the current-carrying case agrees with the one recently obtained by means of a hydrodynamic theory.

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