Quantum Monte Carlo study of the Rabi-Hubbard model

  • Thibaut Flottat
  • Frédéric HébertEmail author
  • Valéry G. Rousseau
  • George Ghassan Batrouni
Regular Article


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

Graphical abstract


Quantum Optics 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Thibaut Flottat
    • 1
  • Frédéric Hébert
    • 1
    Email author
  • Valéry G. Rousseau
    • 2
  • George Ghassan Batrouni
    • 1
    • 3
    • 4
    • 5
  1. 1.UCA, CNRSValbonneFrance
  2. 2.Physics Department, Loyola University New OrleansNew OrleansUSA
  3. 3.Institut Universitaire de FranceParisFrance
  4. 4.MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit UMISingaporeSingapore
  5. 5.Centre for Quantum Technologies, National University of SingaporeSingaporeSingapore

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