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arXiv · 0811.1891

Wave patterns generated by a supersonic moving body in a binary Bose-Einstein condensate

Yu. G. Gladush·A. M. Kamchatnov·Z. Shi·P. G. Kevrekidis·D. J. Frantzeskakis·B. A. Malomed
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Abstract

Generation of wave structures by a two-dimensional object (laser beam) moving in a two-dimensional two-component Bose-Einstein condensate with a velocity greater than both sound velocities of the mixture is studied by means of analytical methods and systematic simulations of the coupled Gross-Pitaevskii equations. The wave pattern features three regions separated by two Mach cones. Two branches of linear patterns similar to the so-called "ship waves" are located outside the corresponding Mach cones, and oblique dark solitons are found inside the wider cone. An analytical theory is developed for the linear patterns. A particular dark-soliton solution is also obtained, its stability is investigated, and two unstable modes of transverse perturbations are identified. It is shown that, for a sufficiently large flow velocity, this instability has a convective character in the reference frame attached to the moving body, which makes the dark soliton effectively stable. The analytical findings are corroborated by numerical simulations.

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Yu. G. Gladush, A. M. Kamchatnov, Z. Shi, P. G. Kevrekidis, D. J. Frantzeskakis, B. A. Malomed. 2008-11-12. Wave patterns generated by a supersonic moving body in a binary Bose-Einstein condensate. https://doi.org/10.1103/physreva.79.033623

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