Linear "ship waves" generated in stationary flow of a Bose-Einstein condensate past an obstacle
Yu.G. Gladush, G.A. El, A. Gammal, and A.M. Kamchatnov
TL;DR
This paper develops an analytical theory for the linear 'ship wave' patterns generated in a supersonic Bose-Einstein condensate flow past an obstacle, confirmed by numerical simulations.
Contribution
It introduces a linearized analytical approach to describe ship waves in BEC flow, validated by numerical simulations of the full Gross-Pitaevskii equation.
Findings
Ship waves occur outside the Mach cone in supersonic BEC flow.
Analytical solutions match numerical simulations.
Wave patterns are described by stationary solutions of the linearized equation.
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.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum, superfluid, helium dynamics · Strong Light-Matter Interactions