Relationship between the adiabatic-following solutions of Bloch equations and the solutions of non-Markovian Pauli-type master equations

Abstract

A general derivation of non-Markovian Pauli-type master equations is given for systems interacting with pump and relaxation mechanisms. It is shown that the adiabatic-following solutions of Bloch equations, due to Grischkowski and co-workers, are obtained as a special case from Pauli equations of non-Markovian type. Finally, it is proved that for a two-level system the non-Markovian master equation obtained in the Born approximation is also exact.