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.