On ultrastrong coupling in quantum Rabi theory

  • Sarah Saidi
  • Mohamed Maaroufi
  • Lalla Btissam Drissi
Regular Article
  • 33 Downloads

Abstract

We develop an effective Hamiltonian model to study resonance properties of multi-photon processes in c-QED. This proposal predicts an effective H eff having the structure 𝒜 + 𝒫𝒟-1𝒫 where 𝒟-1 is the propagator of the intermediate states and 𝒜, 𝒫  two operators given by Rabi hamiltonian H R . The adiabatic elimination of Ken et al. [Phys Rev. A 92, 023842 (2015)] is recovered as time independent limit where 𝒟-1 is approached by the inverse of a constant matrix ℬ which is also determined from H R . A new limit, named as linear approximation, is also obtained; it corresponds to approximating 𝒟-1 like ℬ-1 − ℬ-2 (i∂/∂t) and leads to a refined expression of the effective H eff . Others features are also studied.

Graphical abstract

Keywords

Quantum Optics 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Sarah Saidi
    • 1
  • Mohamed Maaroufi
    • 1
  • Lalla Btissam Drissi
    • 2
  1. 1.Equipe de Recherche en Energie Electrique et Commande, Ecole Mohammadia d’Ingénieurs, Université Mohamed VRabatMorocco
  2. 2.LPHE-Modélisation et Simulation, Faculté des Sciences, Université Mohamed VRabatMorocco

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