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Quantum Monte Carlo study of the Rabi-Hubbard model

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Abstract

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of a one dimensional Rabi-Hubbard model. The model consists of a lattice of Rabi systems coupled by a photon hopping term between near neighbor sites. For large enough coupling between photons and atoms, the phase diagram generally consists of only two phases: a coherent phase and a compressible incoherent one separated by a quantum phase transition (QPT). We show that, as one goes deeper in the coherent phase, the system becomes unstable exhibiting a divergence of the number of photons. The Mott phases which are present in the Jaynes-Cummings-Hubbard model are not observed in these cases due to the presence of non-negligible counter-rotating terms. We show that these two models become equivalent only when the detuning is negative and large enough, or if the counter-rotating terms are small enough

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Authors and Affiliations

  1. UCA, CNRS, INLN, 1361 route des Lucioles, 06560, Valbonne, France

    Thibaut Flottat, Frédéric Hébert & George Ghassan Batrouni

  2. Physics Department, Loyola University New Orleans, 6363, Saint Charles Ave., New Orleans, LA, 70118, USA

    Valéry G. Rousseau

  3. Institut Universitaire de France, 103 bd Saint-Michel, 75005, Paris, France

    George Ghassan Batrouni

  4. MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit UMI, 3654, Singapore, Singapore

    George Ghassan Batrouni

  5. Centre for Quantum Technologies, National University of Singapore, 2 Science Drive 3, Singapore, 117542, Singapore

    George Ghassan Batrouni

Authors
  1. Thibaut Flottat
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  2. Frédéric Hébert
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  3. Valéry G. Rousseau
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  4. George Ghassan Batrouni
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Correspondence to Frédéric Hébert.

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Flottat, T., Hébert, F., Rousseau, V. et al. Quantum Monte Carlo study of the Rabi-Hubbard model. Eur. Phys. J. D 70, 213 (2016). https://doi.org/10.1140/epjd/e2016-70492-x

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  • DOI: https://doi.org/10.1140/epjd/e2016-70492-x

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