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Phys. Rev. A 68, 035603 (2003) [4 pages]

Hydrodynamic flow of expanding Bose-Einstein condensates

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V. A. Brazhnyi1, A. M. Kamchatnov1,2, and V. V. Konotop1
1Centro de Física Teórica e Computacional, Universidade de Lisboa, Complexo Interdisciplinar, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal
2Institute of Spectroscopy, Russian Academy of Sciences, Troitsk 142190, Moscow Region, Russia

Received 5 February 2003; published 22 September 2003

We study expansion of quasi-one-dimensional (1D) Bose-Einstein condensate (BEC) after switching off the confining harmonic potential. Exact solution of dynamical equations is obtained in the framework of the hydrodynamic approximation and it is compared with the direct numerical simulation of the full problem, showing excellent agreement at realistic values of physical parameters. We analyze the maximum of the current density and estimate the velocity of expansion. The results of the 1D analysis provides also qualitative understanding of some properties of BEC expansion observed in experiments.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.035603
DOI:
10.1103/PhysRevA.68.035603
PACS:
03.75.Kk