The purpose of this paper is to study the optimal performance for an irreversible quantum Brayton engine consisting of two constant-frequency branches connected by two irreversible adiabatic branches. The solution of the generalized quantum master equation of a thermal system is obtained in the Heisenberg picture. The optimization region (or criteria) for an irreversible quantum Brayton engine is obtained. The relationship between the dimensionless power output P-* versus efficiency eta for the irreversible quantum Brayton engine with heat leakage and other irreversible losses are derived. (c) 2006 American Institute of Physics.
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