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Single-photon stimulated emission in waveguide quantum electrodynamics

Author

Listed:
  • O. A. Chuikin

    (Novosibirsk State Technical University)

  • Ya. S. Greenberg

    (Novosibirsk State Technical University)

  • A. A. Shtygashev

    (Novosibirsk State Technical University)

  • A. G. Moiseev

    (Novosibirsk State Technical University)

Abstract

We study the scattering of a single-photon pulse from quantum two-level system (qubit) coupled to a continuum spectrum of modes in a one-dimensional (1D) nanophotonic waveguide. We consider two different cases—single-excitation subspace, when photon is incident on a qubit in the ground state, and two-excitation subspace, when photon is incident on excited qubit. For both cases, we find the spatial distribution of photon fields inside a waveguide and derive a time-dependent analytical solution for qubit and photon amplitudes, which can be used to obtain probabilities to find excited qubit and forward or backward moving photons in different configurations. We find that incident wave has much higher probability to be transmitted through the excited qubit which is a signature of single-photon stimulated emission. This property together with a fact that a qubit in the ground state almost completely reflects resonant photons, which can be used to develop method to detect qubit state in an open waveguide. By analyzing two-photon amplitudes for photon incident on excited qubit, we show clear evidence of stimulated emission. Calculations are performed for two initial states of incident photon: plane wave and Gaussian pulse. Graphic abstract

Suggested Citation

  • O. A. Chuikin & Ya. S. Greenberg & A. A. Shtygashev & A. G. Moiseev, 2024. "Single-photon stimulated emission in waveguide quantum electrodynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(10), pages 1-20, October.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:10:d:10.1140_epjb_s10051-024-00784-3
    DOI: 10.1140/epjb/s10051-024-00784-3
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    References listed on IDEAS

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    1. A. Lamas-Linares & J. C. Howell & D. Bouwmeester, 2001. "Stimulated emission of polarization-entangled photons," Nature, Nature, vol. 412(6850), pages 887-890, August.
    2. Neil V. Corzo & Jérémy Raskop & Aveek Chandra & Alexandra S. Sheremet & Baptiste Gouraud & Julien Laurat, 2019. "Waveguide-coupled single collective excitation of atomic arrays," Nature, Nature, vol. 566(7744), pages 359-362, February.
    3. Mohammad Mirhosseini & Eunjong Kim & Xueyue Zhang & Alp Sipahigil & Paul B. Dieterle & Andrew J. Keller & Ana Asenjo-Garcia & Darrick E. Chang & Oskar Painter, 2019. "Cavity quantum electrodynamics with atom-like mirrors," Nature, Nature, vol. 569(7758), pages 692-697, May.
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