Oblique Dark Solitons in Supersonic Flow of a Bose-Einstein Condensate

2006/04/30 by G. A. Él, G. A. El, A. Gammal +1 · 4 citations
Engineering · Physics and Astronomy · #Bose–Einstein condensate #Choked flow #Cold Atom Physics and Bose-Einstein Condensates #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Mechanics #Oblique case #Physics #Quantum electrodynamics #Quantum mechanics #Strong Light-Matter Interactions #Supersonic speed #cond-mat.soft #nlin.PS

paper · pdf · doi:10.1103/physrevlett.97.180405

published as Phys. Rev. Lett. 97, 180405 (2006) · 5 pages, 3 figures

openalex publication_date 2006/11/01 · arxiv created 2006/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the framework of the Gross-Pitaevskii mean field approach, it is shown that the supersonic flow of a Bose-Einstein condensate can support a new type of pattern--an oblique dark soliton. The corresponding exact solution of the Gross-Pitaevskii equation is obtained. It is demonstrated by numerical simulations that oblique solitons can be generated by an obstacle inserted into the flow.

Citations

• Motion of a heavy impurity through a Bose-Einstein condensate
• Spatial dispersive shock waves generated in supersonic flow of Bose–Einstein condensate past slender body

Cited by

• Rise and Fall of a Bright Soliton in an Optical Lattice
• Pattern formation of quantum Kelvin-Helmholtz instability in binary superfluids
• Propagation of instability fronts in modulationally unstable systems
• Exact soliton-like solutions of the radial Gross–Pitaevskii equation