Towards a Hamiltonian description of the quantum measurement process.

The evolution of quantum systems is typically affected by spurious interactions with the external environment. There exists a specific class of phenomena so leaky and noisy to completely destroy the entanglement shared by the system under investigation with any other system. It has been shown that this kind of evolution can essentially be described in terms of classical measure-and-reprepear operations. Here we propose a Hamiltonian description for this class of phenomena, ultimately aiming at opening a root towards a dynamical parametrization of the quantum measurement process.