Resonance-engineered single-photon routing in an asymmetric Jaynes-Cummings cavity-waveguide system
Abstract
We investigate single-photon scattering and routing in an asymmetric cavity-waveguide quantum electrodynamics system consisting of a Jaynes-Cummings cavity-emitter subsystem coupled to two one-dimensional waveguides. Using a real-space scattering approach, we derive an exact three-channel scattering matrix and analytical expressions for the channel-resolved scattering amplitudes. The scattering response is governed by the interplay of asymmetric cavity-waveguide coupling, atom-cavity detuning, coherent preparation of a single-photon superposition across multiple input channels, and intrinsic dissipation. Coupling asymmetry controls the relative weights of the cavity-mediated scattering pathways, whereas atom-cavity detuning modifies their spectral response. Coherent multichannel input states provide an additional phase-sensitive control of the output probabilities through interference. In particular, we identify an analytical condition, J2=2J1 and α1=−α2, under which the probability in the second output channel becomes independent of photon energy; for an equal-weight normalized input, this probability is 1/2. We further show how cavity and atomic dissipation reduce the probability remaining in the guided channels. These results provide a framework for resonance-engineered single-photon routing in asymmetric Jaynes-Cummings cavity-waveguide systems.
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BibTeX
@misc{abdalla2026resonanceengineered,
title = {{Resonance-engineered single-photon routing in an asymmetric Jaynes-Cummings cavity-waveguide system}},
author = {Adam Sulieman Ibrahim Abdalla},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.09519},
eprint = {2611.09519},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.09519},
}
RIS
TY - UNPB
TI - Resonance-engineered single-photon routing in an asymmetric Jaynes-Cummings cavity-waveguide system
AU - Adam Sulieman Ibrahim Abdalla
PY - 2026
DA - 2026/11/06
PB - arXiv
DO - 10.48550/arxiv.2611.09519
UR - https://arxiv.org/abs/2611.09519
AB - We investigate single-photon scattering and routing in an asymmetric cavity-waveguide quantum electrodynamics system consisting of a Jaynes-Cummings cavity-emitter subsystem coupled to two one-dimensional waveguides. Using a real-space scattering approach, we derive an exact three-channel scattering matrix and analytical expressions for the channel-resolved scattering amplitudes. The scattering response is governed by the interplay of asymmetric cavity-waveguide coupling, atom-cavity detuning, coherent preparation of a single-photon superposition across multiple input channels, and intrinsic dissipation. Coupling asymmetry controls the relative weights of the cavity-mediated scattering pathways, whereas atom-cavity detuning modifies their spectral response. Coherent multichannel input states provide an additional phase-sensitive control of the output probabilities through interference. In particular, we identify an analytical condition, J_2=2J_1 and α_1=−α_2, under which the probability in the second output channel becomes independent of photon energy; for an equal-weight normalized input, this probability is 1/2. We further show how cavity and atomic dissipation reduce the probability remaining in the guided channels. These results provide a framework for resonance-engineered single-photon routing in asymmetric Jaynes-Cummings cavity-waveguide systems.
ER -