Anisotropic sound and shock waves in dipolar Bose–Einstein condensate

2011/11/30 by Paulsamy Muruganandam, P. Muruganandam, Sadhan K. Adhikari +1
Physics and Astronomy · #Acoustics #Anisotropy #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computational physics #Condensed matter physics #Dipole #Geometry #Instability #Mach number #Mechanics #Optics #Perpendicular #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Second sound #Shock (circulatory) #Shock wave #Sound (geography) #Strong Light-Matter Interactions #cond-mat.quant-gas

paper · pdf · doi:10.1016/j.physleta.2011.11.054

published as Phys. Lett. A 376 (2012) 480-483 · 5 pages, 3 figures

arxiv created 2011/11/30 · openalex publication_date 2011/12/04 · arxiv updated 2012/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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