Condensation of N bosons IV: a simplified Bogoliubov master equation analysis of fluctuations in an interacting Bose gas
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abstract
A non-equilibrium 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.