Perturbative approach to non-Markovian stochastic Schrodinger equations

Abstract

In this paper we present a perturbative procedure that allows one to numerically solve diffusive non-Markovian Stochastic Schr¨odinger 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 a environment with a simple memory function. It is observed that as the order of the perturbation is increased the numerical results for the ensembled average state ρred ( t) approach the exact reduced state found via Imamo¯glu’s enlarged system method.