Dynamical Properties of the Finite-size Dicke Model Coupled to a Thermal Reservoir

Ryosuke Imai, Yoshiya Yamanaka

    研究成果: Article

    1 引用 (Scopus)

    抄録

    We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system–reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the strong atom–cavity coupling. Because the dispersive regime is considered, the dynamics of low-energy states are described sufficiently accurately within the finite-dimensional subspace of the dressed states. Using the separation of the time scales between the system and the reservoir, we derive the Markovian quantum master equation in the subspace without ignoring the counter-rotating terms. The temporal evolution of the expectation of the cavity mode shows that the bifurcation of the long-lived state corresponds to the superradiant transition in the isolated model. The master equation explicitly gives the steady state solution. The numerical results for the first-order correlation function on the steady state indicate that the strong atom–cavity coupling enhances the coherence and softens the dephasing in the superradiant region.

    元の言語English
    記事番号024401
    ジャーナルJournal of the Physical Society of Japan
    88
    発行部数2
    DOI
    出版物ステータスPublished - 2019 1 1

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    counters
    cavities
    photons
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    これを引用

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    abstract = "We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system–reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the strong atom–cavity coupling. Because the dispersive regime is considered, the dynamics of low-energy states are described sufficiently accurately within the finite-dimensional subspace of the dressed states. Using the separation of the time scales between the system and the reservoir, we derive the Markovian quantum master equation in the subspace without ignoring the counter-rotating terms. The temporal evolution of the expectation of the cavity mode shows that the bifurcation of the long-lived state corresponds to the superradiant transition in the isolated model. The master equation explicitly gives the steady state solution. The numerical results for the first-order correlation function on the steady state indicate that the strong atom–cavity coupling enhances the coherence and softens the dephasing in the superradiant region.",
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