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We analyze the time-evolution of a quantum dot which is proximized by alarge-gap superconductor and weakly probed using the charge and heat currentsinto a wide-band metal electrode. We map out the full time dependence of thesecurrents after initializing the system by a switch. We find that due to theproximity effect there are two simple yet distinct switching procedures whichinitialize a non-stationary mixture of the gate-voltage dependent eigenstatesof the proximized quantum dot. We find in particular that the ensuingtime-dependent heat current is a sensitive two-particle probe of the interplayof strong Coulomb interaction and induced superconducting pairing. The pairingcan lead to a suppression of charge and heat current decay which we analyze indetail. The analysis of the results makes crucial use of analytic formulasobtained using fermionic duality, a ``dissipative symmetry'' of the masterequation describing this class of open systems.

Transient transport spectroscopy of an interacting quantum dot proximized by a superconductor: Charge- and heat-currents after a switch