Microscopic modelling of general time-dependent quantum Markov processes. (arXiv:1903.06128v1 [quant-ph])
Master equations are typically adopted to describe the dynamics of open
quantum systems. Such equations are either in integro-differential or in
time-local form, with the latter class more frequently adopted due to the
simpler numerical methods developed to obtain the corresponding solution. Here
we show that any time-local master equation with positive rates in the
generator, i.e. any CP-divisible quantum process, admits a microscopic model
whose reduced dynamics is well described by the given equation.