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

Ryosuke Imai, Yoshiya Yamanaka

    Research output: Contribution to journal › Article

    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.

    Original languageEnglish
    Article number024401
    JournalJournal of the Physical Society of Japan
    Volume88
    Issue number2
    DOIs
    Publication statusPublished - 2019 Jan 1

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    counters
    cavities
    photons
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Dynamical Properties of the Finite-size Dicke Model Coupled to a Thermal Reservoir. / Imai, Ryosuke; Yamanaka, Yoshiya.

    In: Journal of the Physical Society of Japan, Vol. 88, No. 2, 024401, 01.01.2019.

    Research output: Contribution to journal › Article

    Imai, R & Yamanaka, Y 2019, 'Dynamical Properties of the Finite-size Dicke Model Coupled to a Thermal Reservoir' Journal of the Physical Society of Japan, vol. 88, no. 2, 024401. https://doi.org/10.7566/JPSJ.88.024401
    Imai R, Yamanaka Y. Dynamical Properties of the Finite-size Dicke Model Coupled to a Thermal Reservoir. Journal of the Physical Society of Japan. 2019 Jan 1;88(2). 024401. https://doi.org/10.7566/JPSJ.88.024401
    Imai, Ryosuke ; Yamanaka, Yoshiya. / Dynamical Properties of the Finite-size Dicke Model Coupled to a Thermal Reservoir. In: Journal of the Physical Society of Japan. 2019 ; Vol. 88, No. 2.
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