### Abstract

We consider the generalized quantum Rabi model with the so-called A ^{2}-term in the light of the Hepp-Lieb-Preparata quantum phase transition. We investigate the dressed photon in its ground state when the atom-light coupling strength is in the deep-strong coupling regime. This regime is introduced by Casanova et al (2010 Phys. Rev. Lett. 105 263603) as the coupling regime exceeding the ultra-strong one. We show how the dressed photon appears in the ground state.

Original language | English |
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Article number | 184003 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 50 |

Issue number | 18 |

DOIs | |

Publication status | Published - Apr 5 2017 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Hirokawa, M., Moller, J. S., & Sasaki, I. (2017). A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory.

*Journal of Physics A: Mathematical and Theoretical*,*50*(18), [184003]. https://doi.org/10.1088/1751-8121/aa677c