Dynamical Coulomb blockade under a tempe

We observe and comprehend the dynamical Coulomb blockade suppression of the electrical conductance across an electronic quantum channel subjected to a temperature difference. A broadly tunable, spin-polarized Ga(Al)As quantum channel is connected on-chip, through a micron-scale metallic node, to a linear RC circuit, characterized by three temperatures: the temperature of the electrons in the large electrodes, in the node, and of the electromagnetic modes of the RC circuit. The temperature in the node is selectively increased by local Joule dissipation and characterized from current fluctuations. In the tunnel regime, a close match is found between conductance measurements and tunnel dynamical Coulomb blockade theory. In the near ballistic regime, we develop a theory that accounts for different electronic and electromagnetic bath temperatures, again in good agreement with experimental data. In the far out-of-equilibrium situation where the temperature in the node significantly exceeds that in the large electrodes, the equilibrium prediction for the conductance is recovered, but at a rescaled temperature αT node, indicating that the conductance of a quantum conductor embedded into an on-chip dissipative circuit is diminished at low temperatures and voltages.