Orateur
Anna Szczepanek
(Toulouse 3 University)
Description
Quantum trajectories are Markov chains modeling the evolution of a quantum system subject to repeated indirect measurements. It was shown by Kümmerer and Maassen that, asymptotically, a quantum trajectory performs a random walk between the so-called `dark subspaces'. We show that this random walk admits a unique invariant probability measure and that the convergence towards this measure is geometric. We also provide a classification of invariant measures for quantum trajectories inside dark subspaces. Joint work with T. Benoist and C. Pellegrini.
