Damped quantum interference using stochastic calculus

It is shown how the phase-damping master equation, either in Markovian and non-Markovian regimes, can be obtained as an averaged random unitary evolution. This, apart from offering a common mathematical set-up for both regimes, enables us to solve this equation in a straightforward manner just by solving the Schrodinger equation and taking the stochastic expectation value of its solutions after an adequate modification. Using the linear entropy as a figure of merit (basically the loss of quantum coherence) four distinct kinds of environment are suggested.