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We develop closed expressions for a time-resolved photon counting signalinduced by an entangled photon pair in an interferometric spectroscopy setup.Superoperator expressions in Liouville-space are derived that can account forrelaxation and dephasing induced by coupling to a bath. Interferometric setupsmix matter and light variables non-trivially, which complicates theirinterpretation. We provide an intuitive modular framework for this setup thatsimplifies its description. Based on separation between the detection stage andthe light-matter interaction processes. We show that the pair entanglement timeand the interferometric time-variables control the observed physics time-scale.Only a few processes contribute in the limiting case of small entanglement timewith respect to the sample response, and specific contributions can be singledout.

Nonlinear quantum interferometric spectroscopy with entangled photon pairs