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Superradiant emission spectra of a two-qubit system in circuit quantum electrodynamics

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  • Ya. S. Greenberg

    (Novosibirsk State Technical University)

  • O. A. Chuikin

    (Novosibirsk State Technical University)

Abstract

In this paper, we study the spontaneous emission spectra and the emission decay rates of a simplest atom system that exhibits sub- and superradiant properties: a system which consists of two artificial atoms (superconducting qubits) embedded in a one-dimensional open waveguide. The calculations are based on the method of the transition operator which was firstly introduced by R. H. Lehmberg to theoretically describe the spontaneous emission of two-level atoms in a free space. We obtain the explicit expressions for the photon radiation spectra and the emission decay rates for different initial two-qubit configurations with one and two excitations. For every initial state we calculate the radiation spectra and the emission decay rates for different effective distances between qubits. In every case, a decay rate is compared with a single qubit decay to show the superradiant or subradiant nature of a two-qubit decay with a given initial state. Graphic Abstract

Suggested Citation

  • Ya. S. Greenberg & O. A. Chuikin, 2022. "Superradiant emission spectra of a two-qubit system in circuit quantum electrodynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-19, September.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00418-6
    DOI: 10.1140/epjb/s10051-022-00418-6
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    References listed on IDEAS

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    1. J. A. Mlynek & A. A. Abdumalikov & C. Eichler & A. Wallraff, 2014. "Observation of Dicke superradiance for two artificial atoms in a cavity with high decay rate," Nature Communications, Nature, vol. 5(1), pages 1-6, December.
    2. A. Wallraff & D. I. Schuster & A. Blais & L. Frunzio & R.- S. Huang & J. Majer & S. Kumar & S. M. Girvin & R. J. Schoelkopf, 2004. "Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics," Nature, Nature, vol. 431(7005), pages 162-167, September.
    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.
    4. Ya. S. Greenberg & A. A. Shtygashev & A. G. Moiseev, 2021. "Spontaneous decay of artificial atoms in a three-qubit system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-19, November.
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