Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1999-09-18
Phys.Rev.Lett. 85 (2000) 479-482
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 1 figure, RevTex Final version to appear in the Physical Review Letters
Scientific paper
10.1103/PhysRevLett.85.479
We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective microscopic model for the description of the Bose-Einstein condensate. This approach yields the following main results:(i) the interaction between fluctuations proves to be crucial in the mechanism of instability generation; (ii) there are essentially two regimes in the $k$-space, with a crossover for $k^2/2m \sim 2\lambda |\phi_0|^2$, where, in our notation, $\lambda$ is the coupling constant and $|\phi_0|^2$ is the condensate density; (iii) a set of coupled equations that determines completely the nonequilibrium dynamics of the condensate density as a function of the temperature and of the total density of the gas.
Barci Daniel G.
Fraga Eduardo S.
Ramos Rudnei O.
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