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Fourth-order quantum master equations ͑FQMEs͒ are derived in both time nonlocal and local forms for a general system Hamiltonian, with new detailed expressions for the fourth-order kernel, where the bath correlation functions are explicitly decoupled from the system superoperators. Further simplifications can be made for the model of linearly coupled harmonic oscillator bath. Consideration of the high temperature Ohmic bath limit leads to a general Markovian FQME with compact forms of timedoi:10.1063/1.1445105 fatcat:j6xrnpx3t5fhxif542yh3ptnoe