Abstract
A theory of linear wave patterns developing in Bose-Einstein condensate flow past an obstacle is developed. The results obtained characterize the wave crestline geometry and the far-field dependence of the wave amplitude on coordinates. The theoretical predictions agree with the results of previous numerical simulations and provide a qualitative explanation of experiments on the flow of a Bose-Einstein condensate released from a trap past an obstacle.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Cambridge Univ. Press, Cambridge, 2003).
N. N. Bogolyubov, Izv. Akad. Nauk SSSR, Ser. Fiz. 11, 77 (1947).
M. R. Andrews, D. M. Kurn, H.-J. Miesner, et al., Phys. Rev. Lett. 79, 553 (1997); Phys. Rev. Lett. 80, 2967(E) (1998).
S. Burger, K. Bongs, S. Dettmer, et al., Phys. Rev. Lett. 83, 5198 (1999).
J. Denschlag, J. E. Simsarian, D. L. Feder, et al., Science 287, 97 (2000).
V. A. Brazhnyi and A. M. Kamchatnov, Phys. Rev. A 68, 043614 (2003).
A. M. Kamchatnov, A. Gammal, and R. A. Kraenkel, Phys. Rev. A 69, 063605 (2004).
B. Damski, Phys. Rev. A 69, 043610 (2004).
T. P. Simula, P. Engels, I. Coddington, et al., Phys. Rev. Lett. 94, 080404 (2005).
M. A. Hoefer, M. J. Ablowitz, I. Coddington, et al., Phys. Rev. A 74, 023623 (2006).
E. A. Cornell, in Proceedings of Conference on Nonlinear Waves, Integrable Systems, and Their Applications (Colorado Springs, 2005); http://jilawww.colorado.edu/bec/papers.html.
I. Carusotto, S. X. Hu, L. A. Collins, and A. Smerzi, Phys. Rev. Lett. 97, 260403 (2006).
G. A. El, A. Gammal, and A. M. Kamchatnov, Phys. Rev. Lett. 97, 180405 (2006).
G. A. El, Yu. G. Gladush, and A. M. Kamchatnov, J. Phys. A: Math. Theor. 40, 611 (2007).
T. Winiecki, J. F. McCann, and C. S. Adams, Phys. Rev. Lett. 82, 5186 (1999).
H. Susanto, P. G. Kevrekidis, R. Carretero-Gonzáles, et al., Phys. Rev. A 75, 055601 (2007).
Yu. G. Gladush, G. A. El, A. Gammal, and A. M. Kamchatnov, Phys. Rev. A 75, 033619 (2007).
Lord Kelvin, Philos. Mag. 9, 733 (1905).
G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974; Mir, Moscow, 1977).
R. S. Johnson, A Modern Introduction to the Mathematical Theory of Water Waves (Cambridge Univ. Press, Cambridge, 1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.G. Gladush, A.M. Kamchatnov, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 3, pp. 589–595.
Rights and permissions
About this article
Cite this article
Gladush, Y.G., Kamchatnov, A.M. Generation of linear waves in Bose-Einstein condensate flow past an obstacle. J. Exp. Theor. Phys. 105, 520–525 (2007). https://doi.org/10.1134/S1063776107090075
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063776107090075