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This research presents a novel input-output theory for quantum light interacting with structured environments, successfully integrating memory effects into the standard Lindblad master equation framework. By applying this model to stimulated emission and cavity transmission, the study demonstrates how non-Markovian coherence revivals can transform single-mode inputs into complex multimode output fields. These theoretical advances are critical for designing next-generation quantum communication protocols and precision metrology devices that rely on controlled light-matter interactions.
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Non-Markovian interactions with pulses of quantum radiation

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arXiv:2609.01726v1 Announce Type: new Abstract: The interaction of a traveling pulse of quantum light with a localized quantum system shows non-Markovian features when scattering takes place in a structured environment. Here, we devise a non-Markovian input-output theory by coherently coupling the scatterer to a pseudomode, which decays into a Markovian reservoir. This incorporates memory effects of a structured environment without altering the cascaded nature of the Lindblad master equation, whose solution provides the quantum state of the output field of any desired mode. We apply our theory to the stimulated emission by a two-level atom, and to transmission of a Gaussian pulse through a cavity. We observe that the non-Markovian revival of coherence in the scatterer distorts the single-mode nature of the incoming pulse, thus resulting in a multimode output field.

Abstract:The interaction of a traveling pulse of quantum light with a localized quantum system shows non-Markovian features when scattering takes place in a structured environment. Here, we devise a non-Markovian input-output theory by coherently coupling the scatterer to a pseudomode, which decays into a Markovian reservoir. This incorporates memory effects of a structured environment without altering the cascaded nature of the Lindblad master equation, whose solution provides the quantum state of the output field of any desired mode. We apply our theory to the stimulated emission by a two-level atom, and to transmission of a Gaussian pulse through a cavity. We observe that the non-Markovian revival of coherence in the scatterer distorts the single-mode nature of the incoming pulse, thus resulting in a multimode output field.

arXiv:2609.01726 [quant-ph]

(or arXiv:2609.01726v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.01726 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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