Pump-probe scheme for electron-photon dynamics in hybrid conductor-cavity systems

Recent experiments on nanoscale conductors coupled to microwave cavities showed the prospect of transport investigations of electron-photon interplay in the deep quantum regime. Here we propose a pump-probe scheme to investigate the transient dynamics of individual electron-photon excitations in a double-quantum-dot-cavity system. Excitations pumped into the system decay via charge tunneling at the double dot, probed in real time. We investigate theoretically the short-time charge-transfer statistics at the dot for periodic pumping and show that this gives access to vacuum Rabi oscillations as well as excitation dynamics in the presence of double-dot dephasing and relaxation.