Transitions as the Native Objects of Dispersive Light-Matter Dynamics
Quantum Physics
2026-05-15 v1
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.
Cite
@article{arxiv.2605.14096,
title = {Transitions as the Native Objects of Dispersive Light-Matter Dynamics},
author = {Meguebel Mohamed and Maxime Federico and Louis Garbe and Nadia Belabas and Nicolas Fabre},
journal= {arXiv preprint arXiv:2605.14096},
year = {2026}
}