Asymptotic Purification of Disordered Quantum Trajectories

The theory of quantum trajectories in a time-dependent disordered environment is studied. We develop a general framework in which one can study the behavior of quantum trajectories that are obtained by repeated not-necessarily-independent but stationary measurements. Using this framework, we are able to generalize the asymptotic purification results of K\"ummerer and Maassen [KM] to the current setting. Most notably, the concept of a dark subspace from [KM] is generalized to the current setting, which enables us to lift the main theorem of [KM] to the disordered case.