Condensation of N bosons IV: A simplified Bogoliubov master equation analysis of fluctuations in an interacting Bose gas

摘要

A nonequilibrium master equation analysis for N interacting bosons, withBogoliubov quasiparticles as the reservoir is presented. The analysis is basedon a simplified Hamiltonian. The steady state solution yields the equilibriumdensity matrix. The results are in good agreement with and extend our previousrigorous canonical ensemble equilibrium statistical treatment leading to aquantum theory of the atom laser.