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Main Authors: Liu, Yan, Xiang, Qing-Ao, Yang, Xin-Yuan, Yuan, Ji-Bing, Tang, Shi-Qing, Wang, Xin-Wen, Song, Ya-Ju
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.22840
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author Liu, Yan
Xiang, Qing-Ao
Yang, Xin-Yuan
Yuan, Ji-Bing
Tang, Shi-Qing
Wang, Xin-Wen
Song, Ya-Ju
author_facet Liu, Yan
Xiang, Qing-Ao
Yang, Xin-Yuan
Yuan, Ji-Bing
Tang, Shi-Qing
Wang, Xin-Wen
Song, Ya-Ju
contents 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 $Λ$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22840
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On-Demand Control of Input-State-Dependent Single-Photon Scattering in Multi-Mode Waveguides
Liu, Yan
Xiang, Qing-Ao
Yang, Xin-Yuan
Yuan, Ji-Bing
Tang, Shi-Qing
Wang, Xin-Wen
Song, Ya-Ju
Quantum Physics
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 $Λ$-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.
title On-Demand Control of Input-State-Dependent Single-Photon Scattering in Multi-Mode Waveguides
topic Quantum Physics
url https://arxiv.org/abs/2511.22840