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

Abstract

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.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [7]
  1. Department of Applied Mathematics, Feng Chia University, Taichung 40724, Taiwan (China)
  2. Department of Physics, National Changhua University of Education, Changhua 50058, Taiwan (China)
  3. Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan (China)
  4. Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU (United Kingdom)
  5. Department of Applied Physics, Helsinki University of Technology, P.O. Box 5100, 02015 (Finland)
  6. (Russian Federation)
  7. Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region 142190 (Russian Federation)
Publication Date:
OSTI Identifier:
21304737
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 79; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.79.053619; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; BOSE-EINSTEIN CONDENSATION; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; DISTANCE; DISTRIBUTION; IMPURITIES; NUMERICAL ANALYSIS; THREE-DIMENSIONAL CALCULATIONS; VELOCITY; WAVE EQUATIONS; WAVELENGTHS

Citation Formats

Horng, T.-L., Gou, S.-C., Lin, T.-C., El, G. A., Itin, A. P., Space Research Institute, Russian Academy of Sciences, Moscow, 117997, and Kamchatnov, A. M. Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate. United States: N. p., 2009. Web. doi:10.1103/PHYSREVA.79.053619.
Horng, T.-L., Gou, S.-C., Lin, T.-C., El, G. A., Itin, A. P., Space Research Institute, Russian Academy of Sciences, Moscow, 117997, & Kamchatnov, A. M. Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate. United States. doi:10.1103/PHYSREVA.79.053619.
Horng, T.-L., Gou, S.-C., Lin, T.-C., El, G. A., Itin, A. P., Space Research Institute, Russian Academy of Sciences, Moscow, 117997, and Kamchatnov, A. M. Fri . "Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate". United States. doi:10.1103/PHYSREVA.79.053619.
@article{osti_21304737,
title = {Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate},
author = {Horng, T.-L. and Gou, S.-C. and Lin, T.-C. and El, G. A. and Itin, A. P. and Space Research Institute, Russian Academy of Sciences, Moscow, 117997 and Kamchatnov, A. M.},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.79.053619},
journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 79,
place = {United States},
year = {2009},
month = {5}
}