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

• URL: http://arxiv.org/abs/1706.02687v3
• Date: Thu, 7 Sep 2023 10:19:48 GMT
• Title: A generalization of the quantum Rabi model: exact solution and spectral structure
• Authors: Hans-Peter Eckle and Henrik Johannesson
• Abstract summary: 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. 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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