Generation of dispersive shock waves by the flow of a Bose-Einstein condensate past a narrow obstacle

A. M. Kamchatnov 1, N. Pavloff 2

Physical Review A 85 (2012) 033603

We study the flow of a quasi-one-dimensional Bose-Einstein condensate incident onto a narrow obstacle. We consider a configuration in which a dispersive shock is formed and propagates upstream away from the obstacle while the downstream flow reaches a supersonic velocity, generating a sonic horizon. Conditions for obtaining this regime are explicitly derived and the accuracy of our analytical results is confirmed by numerical simulations.

  • 1. Institute of Spectroscopy,
    Russian Academy of Sciences
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud