Propagation of sound in a Bose Einstein condensate in an optical lattice

Details Propagation of sound in a Bose Einstein condensate in an optical lattice Propagation of sound in a Bose Einstein condensate in an optical lattice

2004-04-12

arxiv.org/abs/cond-mat/0404272v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevA.70.023609

We study the propagation of sound waves in a Bose-Einstein condensate trapped in a one-dimensional optical lattice. We find that the velocity of propagation of sound wavepackets decreases with increasing optical lattice depth, as predicted by the Bogoliubov theory. The strong interplay between nonlinearities and the periodicity of the external potential raise new phenomena which are not present in the uniform case. Shock waves, for instance, can propagate slower than sound waves, due to the negative curvature of the dispersion relation. Moreover, nonlinear corrections to the Bogoliubov theory appear to be important even with very small density perturbations, inducing a saturation on the amplitude of the sound signal.

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