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We consider a single-level quantum dot tunnel-coupled to one normal and onesuperconducting lead. We employ a diagrammatic real-time approach to calculatethe finite-frequency current noise for subgap transport. The noise spectrumgives direct access to the internal dynamics of the dot. In particular thenoise spectrum shows sharp dips at the frequency of the coherent oscillationsof Cooper pairs between dot and superconductor. This feature is most pronouncedwhen the superconducting correlation is maximal. Furthermore, in thequantum-noise regime, $\omega> k_\text{B}T,\mu_\text{N}$, the noise spectrumexhibits steps at frequencies equal to the Andreev addition energies. Theheight of these steps is related to the effective coupling strength of theexcitations. The finite-frequency noise spectrum hence provides a fullspectroscopy of the system.

Finite-frequency noise in a quantum dot with normal and superconducting leads