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APS » Journals » Phys. Rev. A » Volume 79 » Issue 5
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Phys. Rev. A 79, 053619 (2009) [6 pages]

Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate

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T.-L. Horng1, S.-C. Gou2, T.-C. Lin3, G. A. El4, A. P. Itin5,6, and A. M. Kamchatnov7
1Department of Applied Mathematics, Feng Chia University, Taichung 40724, Taiwan
2Department of Physics, National Changhua University of Education, Changhua 50058, Taiwan
3Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan
4Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom
5Department of Applied Physics, Helsinki University of Technology, P.O. Box 5100, 02015, Finland
6Space Research Institute, Russian Academy of Sciences, Moscow, 117997, Russia
7Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region 142190, Russia

Received 10 February 2009; published 13 May 2009

Formation of stationary three-dimensional (3D) wave patterns generated by a small pointlike impurity moving through a Bose-Einstein condensate with supersonic velocity is studied. Asymptotic formulae for a stationary far-field density distribution are obtained. Comparison with the three-dimensional numerical simulations demonstrates that these formulae are accurate enough already at the distances from the obstacle equal to a few wavelengths.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.053619
DOI:
10.1103/PhysRevA.79.053619
PACS:
03.75.Kk
 
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