Spatial dispersive shock waves generated in supersonic flow of Bose–Einstein condensate past slender body

2005/04/30 by G. A. Él, G. A. El, A. M. Kamchatnov · 3 citations
Physics and Astronomy · #Bose–Einstein condensate #Cherenkov radiation #Choked flow #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Flow (mathematics) #Mechanics #Nonlinear system #Optics #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Shock (circulatory) #Shock wave #Supersonic speed #cond-mat.soft #nlin.PS

paper · pdf · doi:10.1016/j.physleta.2005.08.099

published as Phys. Lett. A 350, 192-196 (2006) · 10 pages, revised version with additions and corrections

openalex publication_date 2005/10/14 · arxiv created 2006/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Supersonic flow of Bose-Einstein condensate past macroscopic obstacles is studied theoretically. It is shown that in the case of large obstacles the Cherenkov cone transforms into a stationary spatial shock wave which consists of a number of spatial dark solitons. Analytical theory is developed for the case of obstacles having a form of a slender body. This theory explains qualitatively the properties of such shocks observed in recent experiments on nonlinear dynamics of condensates of dilute alkali gases.

Citations

• Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Motion of a heavy impurity through a Bose-Einstein condensate
• Bose-Einstein Condensation in a Gas of Sodium Atoms

Cited by

• Condition for convective instability of dark solitons
• Dispersive shock waves and modulation theory
• Oblique Dark Solitons in Supersonic Flow of a Bose-Einstein Condensate