Condensation of N bosons IV: A simplified Bogoliubov master equation   analysis of fluctuations in an interacting Bose gas
  A nonequilibrium master equation analysis for N interacting bosons, with Bogoliubov quasiparticles as the reservoir is presented. The analysis is based on a simplified Hamiltonian. The steady state solution yields the equilibrium density matrix. The results are in good agreement with and extend our previous rigorous canonical ensemble equilibrium statistical treatment leading to a quantum theory of the atom laser. 
Marlan O. Scully, Anatoly A. Svidzinsky