Transitions as the Native Objects of Dispersive Light-Matter Dynamics
- URL: http://arxiv.org/abs/2605.14096v1
- Date: Wed, 13 May 2026 20:27:43 GMT
- Title: Transitions as the Native Objects of Dispersive Light-Matter Dynamics
- Abstract summary: We introduce a framework where light-matter transitions, rather than states, are the primary dynamical objects.<n>This approach enables transparent derivations of effective high-order Hamiltonians in the dispersive regime.
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- License: http://creativecommons.org/licenses/by/4.0/
- 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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