Phase-Selected Efficient Single-Photon Frequency Conversion via Local Fano Resonance in a Two-Giant-Atom Waveguide-QED System
- URL: http://arxiv.org/abs/2607.07093v1
- Date: Wed, 08 Jul 2026 07:27:05 GMT
- Title: Phase-Selected Efficient Single-Photon Frequency Conversion via Local Fano Resonance in a Two-Giant-Atom Waveguide-QED System
- Abstract summary: Efficient single-photon frequency conversion is investigated in a two-giant-atom waveguide-QED system.<n>We derive analytical four-channel scattering amplitudes and reveal that the inelastic transmission spectrum exhibits a multi-peak interference pattern.<n>This work reveals how phase-controlled local Fano resonance enables high-efficiency frequency conversion.
- Score: 3.8370533806309512
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Efficient single-photon frequency conversion is investigated in a two-giant-atom waveguide-QED system, where a two-level giant atom and a $Λ$-type three-level giant atom couple to a common one-dimensional waveguide. While the $Λ$-type atom provides the inelastic channel, the two-level atom induces secondary coherent coupling, creating multi-path interference for the converted photon. Using the real-space approach and within the Markovian approximation, we derive analytical four-channel scattering amplitudes and reveal that the inelastic transmission spectrum, governed by three complex resonance poles, exhibits a multi-peak interference pattern. By introducing a local single-pole approximation, we reduce this complex spectrum to a local Fano lineshape, decomposing it into a coherent superposition of a local background term and a single-pole resonant term. The interplay between these two terms-controlled by the photon propagation phase between the giant atoms' coupling points-determines the conversion efficiency, with the background suppression condition leading to a Lorentzian reduction. Based on the single-pole resonance weight, we formulate a phase-selection criterion for highly efficient conversion. Compared with both the small-atom and single $Λ$-type giant-atom models, the two-giant-atom scheme achieves substantially enhanced inelastic transmission over a broader frequency-conversion range. This work reveals how phase-controlled local Fano resonance enables high-efficiency frequency conversion, establishing a general paradigm for engineering resonant light-matter interactions in structured quantum systems.
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