Finite-Frequency Noise of a Time-Dependently Driven and Interacting Quantum Dot

We derive the current-noise spectrum stemming from a quantum dot weakly tunnel-coupled to a nearby electronic reservoir and driven by a time-dependent gate voltage. This experimentally relevant setup is frequently applied as an on-demand emitter of single electrons into a mesoscopic conductor. The presence of Coulomb interaction poses an additional challenge for a theoretical description. In this work, we extend a real-time diagrammatic technique to obtain the symmetric finite-frequency current noise. The derived noise spectrum reveals a rich interplay between different energy scales of this system, defined by the interaction strength, the tunnel-coupling strength, the temperature and the driving frequency. We discuss how the noise frequency probes features related to these energy scales.