Normal-ordered perturbative expansion for matter systems interacting with continuous-mode quantum photon fields

Abstract:We develop a normal-ordered perturbative expansion method to compute the reduced dynamics of a matter system interacting with a general continuous-mode photon field state. In this expansion, all field correlation functions are automatically normal-ordered, while the free evolution is modified by spontaneous emission. Our normal-ordered expansion elucidates the physical meaning of non-normal-ordered correlation terms in the conventional expansion. Furthermore, under intermediate coupling strengths, the normal-ordered expansion converges significantly faster than the conventional expansion, allowing one to extend the applicability of perturbative expansion to much larger matter-light coupling strengths. Interestingly, given an $m$-photon Fock state input, the normal-ordered expansion truncates exactly at the $2m$-th order. For special classes of input states, we show the normal-ordered expansion is consistent with the corresponding master equations. We demonstrate the normal-ordered expansion numerically for a two-level system interacting with coherent state, $m$-photon Fock state, and cat state inputs.

Quantum Physics (quant-ph); Chemical Physics (physics.chem-ph); Optics (physics.optics)

arXiv:2609.38576 [quant-ph]

(or arXiv:2609.38576v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.38576 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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