Analytical eigenstates for the quantum Rabi model

@article{Zhong2013AnalyticalEF,
  title={Analytical eigenstates for the quantum Rabi model},
  author={Honghua Zhong and Qiongtao Xie and Murray T Batchelor and Chaohong Lee},
  journal={Journal of Physics A},
  year={2013},
  volume={46},
  pages={415302}
}
  • Honghua Zhong, Qiongtao Xie, +1 author Chaohong Lee
  • Published 2013
  • Physics
  • Journal of Physics A
  • We develop a method to find analytical solutions for the eigenstates of the quantum Rabi model. These include symmetric, anti-symmetric and asymmetric analytic solutions given in terms of the confluent Heun functions. Both regular and exceptional solutions are given in a unified form. In addition, the analytic conditions for determining the energy spectrum are obtained. Our results show that conditions proposed by Braak (2011 Phys. Rev. Lett. 107 100401) are a type of sufficiency condition for… CONTINUE READING

    Figures from this paper.

    Citations

    Publications citing this paper.

    FILTER CITATIONS BY YEAR

    2013
    2020

    CITATION STATISTICS

    • 1 Highly Influenced Citations

    • Averaged 7 Citations per year from 2018 through 2020