Reversible and irreversible evolution of a condensed bosonic gas - art. no. 013607

We have formulated a kinetic theory for a condensed atomic gas in a trap, i .e., a generalized Gross-Pitaevskii equation, as well as a quantum-Boltzman n equation for the normal and anomalous fluctuations [R. Walser et al., Phy s. Rev. A 59, 3878 (1999)]. In this paper, the theory is applied to the cas e of an isotropic configuration and we present numerical and analytical res ults for the reversible real-time propagation. as well as irreversible evol ution towards equilibrium.