### 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 |
---|---|

Article number | 184003 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 50 |

Issue number | 18 |

DOIs | |

Publication status | Published - Apr 5 2017 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*50*(18), [184003]. https://doi.org/10.1088/1751-8121/aa677c

**A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory.** / Hirokawa, Masao; Moller, Jacob S.; Sasaki, Itaru.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 50, no. 18, 184003. https://doi.org/10.1088/1751-8121/aa677c

}

TY - JOUR

T1 - A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory

AU - Hirokawa, Masao

AU - Moller, Jacob S.

AU - Sasaki, Itaru

PY - 2017/4/5

Y1 - 2017/4/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85017452706&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85017452706&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aa677c

DO - 10.1088/1751-8121/aa677c

M3 - Article

AN - SCOPUS:85017452706

VL - 50

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 18

M1 - 184003

ER -