Linear "ship waves" generated in stationary flow of a Bose-Einstein condensate past an obstacle

Abstract

Using stationary solutions of the linearized two-dimensional Gross-Pitaevskii equation, we describe the ``ship wave'' pattern occurring in the supersonic flow of a Bose-Einstein condensate past an obstacle. It is shown that these ``ship waves'' are generated outside the Mach cone. The developed analytical theory is confirmed by numerical simulations of the flow past body problem in the frame of the full non-stationary Gross-Pitaevskii equation.

5 pages, 4 figures

References in corpus (3)

• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Oblique dark solitons in supersonic flow of a Bose-Einstein condensate
• Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate

Cited by in corpus (6)

• Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle
• Wave patterns generated by a supersonic moving body in a binary Bose-Einstein condensate
• Nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire
• Stationary waves in a supersonic flow of a two-component Bose gas
• Generation of linear waves in the flow of Bose-Einstein condensate past an obstacle
• Matter sound waves in two-component Bose-Einstein condensates