A Markovian approach to $N$-photon correlations beyond the quantum regression theorem

• URL: http://arxiv.org/abs/2509.21569v1
• Date: Thu, 25 Sep 2025 20:51:08 GMT
• Title: A Markovian approach to $N$-photon correlations beyond the quantum regression theorem
• Authors: Mateusz Salamon, Oliver Dudgeon, Ahsan Nazir, Jake Iles-Smith,
• Abstract summary: We introduce a Markovian framework for computing frequency-resolved $N$-photon correlation functions.<n>We show that photons emitted via the phonon sideband inherit second-order coherence properties of the Mollow triplet.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Multi-photon correlations from quantum emitters coupled to vibrational environments lie beyond the reach of standard tools such as the quantum regression theorem (QRT). Here, we introduce a Markovian framework for computing frequency-resolved $N$-photon correlation functions that overcomes this limitation. Applying our approach to a driven semiconductor quantum dot provides a tractable description of phonon effects on fluorescence beyond the single-photon spectrum. Our method accurately captures the emergence of the phonon sideband, missed by conventional QRT treatments, and reveals rich phonon-induced structure in the filtered two-photon spectrum. Strikingly, we find that photons emitted via the phonon sideband inherit second-order coherence properties of the Mollow triplet.

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