| arXiv:0712.1891 (December 2007) |
| Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle |
| A. M. Kamchatnov and L. P. Pitaevskii | Laboratoire Physique Théorique et Modèles Statistique, Université Paris Sud, Bât. 100, 91405 Orsay CEDEX, France
Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region, 142190, Russia
Kapitza Institute for Physical Problems, ul. Kosygina 2, Moscow, 119334, Russia
Dipartamento di Fisica, Università di Trento and CNR-INFM BEC Center, I-38050 Povo, Trento, Italy
| | Received. 12 December 2007 Last updated. 13 November 2008 | | Abstract. Stability of dark solitons generated by a supersonic flow of Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle a transition occurs at some critical value of the flow velocity from absolute instability of dark solitons to their convective instability. This leads to decay of disturbances of solitons at fixed distance from the obstacle and formation of effectively stable dark solitons. This phenomenon explains surprising stability of the flow picture that has been observed in numerical simulations. | | Categories. cond-mat.other nlin.PS | | Subject. Other; Pattern Formation and Solitons | | Comment. 5 pages, 3 figures, final version published in Phys. Rev. Lett | | Journal-ref. Phys. Rev. Lett. 100, 160402 (2008) |
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