Microscopic Evolution of a Weakly Interacting Homogeneous Bose Gas

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We provide a detailed description of the nonequilibrium time evolution of an interacting homogeneous Bose-Einstein condensate. We use a nonperturbative in-medium quantum field theory approach as a microscopic model for the Bose gas. The real-time dynamics of the condensate is encoded in a set of self-consistent equations which corresponds to an infinite sum of ladder Feynman diagrams. The crucial role played by the interaction between fluctuations for the instability generation is thoroughly described.
7 pages, 1 figure (uses epsfig). To appear in Laser Physics (2001), Special Issue on Bose-Einstein Condensation of Trapped Atoms. A few misprints and errors have been corrected

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