Current fluctuations and entanglement in dynamic mesoscopic conductors

Abstract

In this thesis, we investigate electronic transport in mesoscopic conductors. In these systems, quantum effects play a major role and the electronic currents have to be described in a quantum mechanical setting. In the first part of this thesis, current fluctuations in periodically driven phase-coherent conductors are considered. We introduce a framework to calculate electronic waiting time distributions in periodically driven quantum systems described by non interacting Floquet scattering theory. Then, a measurement procedure for the extensive full counting statistics in periodically driven conductors based on an electronic Mach-Zehnder interferometer coupled to the system of interest is proposed and its properties are analyzed. The second part of the thesis investigates the on-demand generation and detection of entanglement in mesoscopic conductors. Entanglement using the electron-hole degree of freedom as well as the entanglement of a single electron split between two modes are considered.