Anisotropic sound and shock waves in dipolar Bose-Einstein condensate

Details Anisotropic sound and shock waves in dipolar Bose-Einstein condensate Anisotropic sound and shock waves in dipolar Bose-Einstein condensate

2011-11-22

arxiv.org/abs/1111.5250v2

Phys. Lett. A 376 (2012) 480-483

Physics

Condensed Matter

Quantum Gases

5 pages, 3 figures

Scientific paper

10.1016/j.physleta.2011.11.054

We study the propagation of anisotropic sound and shock waves in dipolar Bose-Einstein condensate in three dimensions (3D) as well as in quasi-two (2D, disk shape) and quasi-one (1D, cigar shape) dimensions using the mean-field approach. In 3D, the propagation of sound and shock waves are distinct in directions parallel and perpendicular to dipole axis with the appearance of instability above a critical value corresponding to attraction. Similar instability appears in 1D and not in 2D. The numerical anisotropic Mach angle agrees with theoretical prediction. The numerical sound velocity in all cases agrees with that calculated from Bogoliubov theory. A movie of the anisotropic wave propagation in a dipolar condensate is made available as supplementary material.

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