# 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:

- Department of Applied Mathematics, Feng Chia University, Taichung 40724, Taiwan (China)
- Department of Physics, National Changhua University of Education, Changhua 50058, Taiwan (China)
- Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan (China)
- Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU (United Kingdom)
- Department of Applied Physics, Helsinki University of Technology, P.O. Box 5100, 02015 (Finland)
- (Russian Federation)
- 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}

}

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