Towards a Quantum Electrodynamics of Conductors and non classical microwaves

The development of phase coherent electronics has partially consisted in probing to which extent the concepts of quantum optics could be adapted to electronic conductors. Here, we contribute to a unified description of electric transport in a phase coherent conductor and of the photonic degrees of freedom it is coupled to. We investigate both the properties of the photons emitted by a phase coherent conductor and the feedback of the coupling to the electromagnetic environment on quantum electronic transport itself.

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Spectral density of the radiation emitted by a Josephson junction in the DCB regime for one-left panel- and two photon processes-middle panel. The junction is embedded in a quarter wavelength resonator, which impedance is given by the right panel.