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Phys. Rev. Lett. 87, 210404 (2001) [4 pages]

Classical-Field Method for Time Dependent Bose-Einstein Condensed Gases

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Alice Sinatra, Carlos Lobo*, and Yvan Castin
Laboratoire Kastler Brossel, 24 Rue Lhomond, 75231 Paris Cedex 05, France

Received 8 January 2001; published 2 November 2001

We propose a method to study the time evolution of Bose-Einstein condensed gases perturbed from an initial thermal equilibrium, based on the Wigner representation of the N-body density operator. We show how to generate a collection of random classical fields sampling the initial Wigner distribution in the number conserving Bogoliubov approximation. The fields are then evolved with the time dependent Gross-Pitaevskii equation. We illustrate the method with the damping of a collective excitation of a one-dimensional Bose gas.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.210404
DOI:
10.1103/PhysRevLett.87.210404
PACS:
03.75.Fi, 05.10.Gg, 42.50.-p

*Present address: University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, IL 61801-3080.