Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: Photon-pair superradiance, Mott insulator, and normal phases - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review A Année : 2019

Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: Photon-pair superradiance, Mott insulator, and normal phases

Benoît Grémaud
V. G. Rousseau
  • Fonction : Auteur
G. G. Batrouni
  • Fonction : Auteur
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Résumé

We study the ground state phase diagrams of two-photon Dicke, the one-dimensional Jaynes-Cummings-Hubbard (JCH), and Rabi-Hubbard (RH) models using mean field, perturbation, quantum Monte Carlo (QMC), and density matrix renormalization group (DMRG) methods. We first compare mean field predictions for the phase diagram of the Dicke model with exact QMC results and find excellent agreement. The phase diagram of the JCH model is then shown to exhibit a single Mott insulator lobe with two excitons per site, a superfluid (SF, superradiant) phase and a large region of instability where the Hamiltonian becomes unbounded. Unlike the one-photon model, there are no higher Mott lobes. Also unlike the one-photon case, the SF phases above and below the Mott are surprisingly different: Below the Mott, the SF is that of photon {\it pairs} as opposed to above the Mott where it is SF of simple photons. The mean field phase diagram of the RH model predicts a transition from a normal to a superradiant phase but none is found with QMC.
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Dates et versions

hal-02400002 , version 1 (13-09-2023)

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Shifeng Cui, F. Hebert, Benoît Grémaud, V. G. Rousseau, Wenan Guo, et al.. Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: Photon-pair superradiance, Mott insulator, and normal phases. Physical Review A, 2019, 100 (3), pp.033608. ⟨10.1103/PhysRevA.100.033608⟩. ⟨hal-02400002⟩
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