Perturbative approach to non-Markovian stochastic Schrodinger equations

In this paper we present a perturbative procedure that allows one to numerically solve diffusive non-Markovian stochastic Schrodinger equations, for a wide range of memory functions. To illustrate this procedure numerical results are presented for a classically driven two-level atom immersed in an environment with a simple memory function. It is observed that as the order of the perturbation is increased the numerical results for the ensemble average state rho(red)(t) approach the exact reduced state found via Imamoglu(')s enlarged system method [Phys. Rev. A 50, 3650 (1994)].