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arXiv · 2609.03726

Inverse Scattering for Single Photons in Quantum Optics

Giovanni Covi·Matti Lassas·Medet Nursultanov·Lauri Oksanen·Mikko Salo·John C. Schotland
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Abstract

We study inverse problems for a time-harmonic one-photon model describing the interaction of a single photon with a medium of stationary two-level atoms. After time-harmonic reduction, the unknown compactly supported atomic density appears as a frequency-dependent potential in a scattering equation for the half Laplacian. We prove high-frequency uniqueness results for three types of intensity data: source-driven measurements, renormalized far-field intensity measurements, and phaseless far-field measurements obtained from coherent superpositions of incident plane waves. In each case, the corresponding data, given at all sufficiently large frequencies, determine the atomic density uniquely; the source-driven result requires a geometric visibility condition on the source and observation sets.

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Giovanni Covi, Matti Lassas, Medet Nursultanov, Lauri Oksanen, Mikko Salo, John C. Schotland. 2026-09-03. Inverse Scattering for Single Photons in Quantum Optics. https://arxiv.org/abs/2609.03726

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