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Single-Photon Quantum Router With a Three-Level Atom Embedded Within a T-Bulge Structure of Coupled Resonant Waveguide

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Abstract

Photon quantum routing is one of the key elements of the quantum information network and integrated optical devices. In this paper, we theoretically investigate the single-photon transport in an intersection coupled resonant waveguide (CRW), called the T-bulge structure, in which the \(N\hbox {th}\) cavity of a semi-infinite CRW couples with one point of an infinite CRW via a cascaded three-level atom. By using the discrete coordinates approach, transmission and reflection amplitudes of the propagating single photon in the waveguide are analytically obtained. Two cases that a single photon is incident from the infinite CRW and from semi-infinite CRW are considered, respectively. Based on the theoretical framework, we show that the quantum router function can be realized by directing a single photon incidenting from the semi-infinite CRW to the infinite CRW with the unity probabilities, and the probability of routing single photons from infinite CRW to semi-infinite CRW could reach 0.5. Our study provides a full quantum control scheme of single-photon scattering in T-bulge structure coupled cavity array waveguide.

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Acknowledgements

We thank Professor L. Zhou for her useful discussion. This work is supported by the National Natural Science Foundation of China under Grant Nos. 11647129, 11422540, 11575058, the Scientific Research Fund of Hunan Provincial Education Department of China under Grant Nos. 16B036, 15A028, the Hunan Provincial Natural Science Foundation of China under Grant Nos. 2017JJ3005, 2016JJ2009, the Science and Technology Plan Project of Hunan Province under Grant No. 2016TP1020, the Open fund project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang normal university under Grant No. IIPA18K08, the Open fund project of the Hunan Provincial Applied Basic Research Base of Optoelectronic Information Technology under Grant No. GD18K04, and the open fund project of the Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education under Grant No. QSQC1704.

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang, 421002, People’s Republic of China

    L. Liu, J. B. Yuan & S. Q. Tang

  2. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, People’s Republic of China

    J. B. Yuan & S. Q. Tang

Authors
  1. L. Liu
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  2. J. B. Yuan
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  3. S. Q. Tang
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Correspondence to S. Q. Tang.

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Liu, L., Yuan, J.B. & Tang, S.Q. Single-Photon Quantum Router With a Three-Level Atom Embedded Within a T-Bulge Structure of Coupled Resonant Waveguide. J Low Temp Phys 195, 60–71 (2019). https://doi.org/10.1007/s10909-018-02126-x

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  • DOI: https://doi.org/10.1007/s10909-018-02126-x

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