Applied Mathematics and Mathematical Physics Seminar: Marko Merkli

We consider a quantum system (scatterer) which interacts with a sequence of identical, independent quantum systems (scattering probes). The interaction is sequential, one by one. After leaving the scatterer, a quantum measurement is perfomed on each probe. The measurement outcomes form a random process. We analyze the asymptotic properties of this process, such as the probability of convergence. If the process converges, then the scatterer is driven to a final state determined by the measurement outcomes. We also examine large deviations for the average of the measurements. We illustrate the concepts and results on the (truncated) Jaynes-Cummings model, where both the scatterer and the probes are spins 1/2, representing two degrees of freedom active in the scattering process.