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arXiv · 2605.14096

Transitions as the Native Objects of Dispersive Light-Matter Dynamics

Mohamed Meguebel·Maxime Federico·Louis Garbe·Nadia Belabas·Nicolas Fabre
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Abstract

We introduce a framework where light-matter transitions, rather than states, are the primary dynamical objects. Successive compositions of elementary transitions yield multiphoton processes with compact diagrammatic bookkeeping of resonant and off-resonant pathways. This approach enables transparent derivations of effective high-order Hamiltonians in the dispersive regime, foundational to quantum-information applications. Applied to the paradigmatic Jaynes-Cummings model, our framework reveals a photon-number-independent intrinsic Rabi frequency and persistent polaritonic hybridization in the dispersive regime, unifying resonant and dispersive limits.

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Mohamed Meguebel, Maxime Federico, Louis Garbe, Nadia Belabas, Nicolas Fabre. 2026-05-13. Transitions as the Native Objects of Dispersive Light-Matter Dynamics. https://arxiv.org/abs/2605.14096

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