English

A generalization of the quantum Rabi model: exact solution and spectral structure

Quantum Physics 2023-09-08 v3 Mesoscale and Nanoscale Physics Mathematical Physics math.MP Atomic Physics

Abstract

We consider a generalization of the quantum Rabi model where the two-level system and the single-mode cavity oscillator are coupled by an additional Stark-like term. By adapting a method recently introduced by Braak [Phys. Rev. Lett. {\bf 107}, 100401 (2011)], we solve the model exactly. The low-lying spectrum in the experimentally relevant ultrastrong and deep strong regimes of the Rabi coupling is found to exhibit two striking features absent from the original quantum Rabi model: avoided level crossings for states of the same parity and an anomalously rapid onset of two-fold near-degenerate levels as the Rabi coupling increases.

Cite

@article{arxiv.1706.02687,
  title  = {A generalization of the quantum Rabi model: exact solution and spectral structure},
  author = {Hans-Peter Eckle and Henrik Johannesson},
  journal= {arXiv preprint arXiv:1706.02687},
  year   = {2023}
}

Comments

27 pages, 8 figures, published version, including added Corrigendum (J. Phys. A: Math. Theor. 56, 345302 (2023)) with corrected Eqs. (39) and (40), and new figures replacing Figs. 4 and 6. The conclusions drawn in the paper remain unchanged and valid

R2 v1 2026-06-22T20:13:16.334Z