Dynamical Phases in the Full Counting Statistics of the Resonant-Level Model

We present a thermodynamic formalism to study the full counting statistics (FCS) of charge transport through a quantum dot coupled to two leads in the resonant-level model. We show that a close analogue of equilibrium phase transitions exists for the statistics of transferred charge; by tuning an appropriate `counting field', crossovers to different dynamical phases are possible. Our description reveals a mapping between the FCS of a given device and current measurements over a range of devices with different dot-lead coupling strengths. Further insight into features in the FCS is found by studying the occupation of the dot conditioned on the transported charge between the leads.