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This research presents a theoretical framework for pulsed single-photon magnetometry using a three-level quantum system, demonstrating how environmental coupling can enhance magnetic-field sensitivity through specific spectral intensity contributions. The study provides critical insights into optimizing photon-counting strategies to capture near-optimal information in Zeeman-sensitive systems, which is relevant for advancing quantum sensing protocols.
Pulsed single-photon magnetometry with a $\Lambda$-type three-level system: near-optimal frequency-resolved photon counting
arXiv:2608.27979v1 Announce Type: new Abstract: We investigate pulsed single-photon magnetometry with a Zeeman-sensitive $\Lambda$-type three-level system driven by a classical control field. We derive the asymptotic output state and decompose its quantum Fisher information into photon-loss, spectral-intensity, and spectral-phase contributions. Environmental coupling reshapes the scattering response and can increase magnetic-field information. At critical coupling, real-frequency zeros of the scattering amplitude redistribute information toward measurable spectral intensity, allowing frequency-resolved photon counting to capture nearly all of the magnetic-field information encoded in the output state when the zeros lie within the pulse bandwidth. For long Gaussian pulses with a smooth, nonzero central-frequency scattering amplitude, the additional spectral-intensity contribution and residual spectral-phase information gap decrease as $T^{-2}$ or faster.
Abstract:We investigate pulsed single-photon magnetometry with a Zeeman-sensitive $\Lambda$-type three-level system driven by a classical control field. We derive the asymptotic output state and decompose its quantum Fisher information into photon-loss, spectral-intensity, and spectral-phase contributions. Environmental coupling reshapes the scattering response and can increase magnetic-field information. At critical coupling, real-frequency zeros of the scattering amplitude redistribute information toward measurable spectral intensity, allowing frequency-resolved photon counting to capture nearly all of the magnetic-field information encoded in the output state when the zeros lie within the pulse bandwidth. For long Gaussian pulses with a smooth, nonzero central-frequency scattering amplitude, the additional spectral-intensity contribution and residual spectral-phase information gap decrease as $T^{-2}$ or faster.
arXiv:2608.27979 [quant-ph]
(or arXiv:2608.27979v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2608.27979 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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