A classical field method for time dependent Bose condensed gases

Details A classical field method for time dependent Bose condensed gases A classical field method for time dependent Bose condensed gases

2001-01-15

arxiv.org/abs/cond-mat/0101210v2

Phys. Rev. Lett. 87, 210404 (2001)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 1 figure, modified version (1 figure removed, more detailed explanation in the text)

Scientific paper

10.1103/PhysRevLett.87.210404

We propose a method to study the time evolution of Bose 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.

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