On-Demand Control of Input-State-Dependent Single-Photon Scattering in Multi-Mode Waveguides
Abstract
Precise control of a single photon transport in broadband, multi-mode waveguides is a fundamental challenge for scalable quantum networks. We propose a theoretical scheme for on-demand control of single-photon scattering using a driven -type emitter coupled to a rectangular waveguide. By employing the Lippmann-Schwinger formalism, we derive the exact analytical scattering matrix and reveal two key interference mechanisms: electromagnetically induced transparency for complete transmission and Fano resonance for complete reflection. We demonstrate that the single-photon scattering is dynamically engineered by the driving field, enabling a switch between complete transmission and dual-frequency complete reflection. Crucially, in the multi-mode regime, we show that the scattering is governed by quantum interference between modes, making it critically dependent on the input photonic state. By preparing the photon in a specific coherent superposition state, the multi-mode interference is harnessed to achieve Fano resonance-mediated complete reflection. Conversely, a single-mode input suppresses complete reflection. This input-state-dependent scattering establishes a general framework for multi-mode quantum photonics, paving the way for broadband dual-frequency filters, multi-mode quantum routers, and on-chip spectrometers.
Cite
@article{arxiv.2511.22840,
title = {On-Demand Control of Input-State-Dependent Single-Photon Scattering in Multi-Mode Waveguides},
author = {Yan Liu and Qing-Ao Xiang and Xin-Yuan Yang and Ji-Bing Yuan and Shi-Qing Tang and Xin-Wen Wang and Ya-Ju Song},
journal= {arXiv preprint arXiv:2511.22840},
year = {2025}
}