%0 Journal Article
%T Stochastic Schr£żdinger equations and memory
%A A. Barchielli
%A P. Di Tella
%A C. Pellegrini
%A F. Petruccione
%J Mathematics
%D 2010
%I arXiv
%X By starting from the stochastic Schr\"odinger equation and quantum trajectory theory, we introduce memory effects by considering stochastic adapted coefficients. As an example of a natural non-Markovian extension of the theory of white noise quantum trajectories we use an Ornstein-Uhlenbeck coloured noise as the output driving process. Under certain conditions a random Hamiltonian evolution is recovered. Moreover, we show that our non-Markovian stochastic Schr\"odinger equations unravel some master equations with memory kernels.
%U http://arxiv.org/abs/1006.3647v1