Two-photon Rabi model: analytic solutions and spectral collapse

@article{Duan2016TwophotonRM,
  title={Two-photon Rabi model: analytic solutions and spectral collapse},
  author={Liwei Duan and You-Fei Xie and Daniel Braak and Qing-Hu Chen},
  journal={Journal of Physics A},
  year={2016},
  volume={49},
  pages={464002}
}
  • Liwei Duan, You-Fei Xie, +1 author Qing-Hu Chen
  • Published 2016
  • Physics
  • Journal of Physics A
  • The two-photon quantum Rabi model is analyzed using the -symmetry and -algebra. We derive the G-function whose zeros give the exact eigenvalues of the Hamiltonian. The singularity structure of the G-function allows to draw conclusions about the distribution of these eigenvalues along the real axis and we derive the spectral collapse phenomenon at critical coupling , found numerically before. The spectrum at consists of a discrete and a continuous part: the ground state is always separated from… CONTINUE READING

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