Clément Pellegrini (Univ. Lyon)

Quantum Trajectories.

We study a particular model of quantum trajectories: a two-level atom in interaction with a quantized electromagnetic field. The quantum trajectories associated to this model is supposed to give rise to very particular stochastic differential equations: the stochastic Schrodinger equations. We establish existence and uniqueness properties for these equations. We also describe a toy model which is candidate to be the discrete time approximation of these equations and could give a physical justification to them.