Exact solution of the two-mode quantum Rabi model

An analytical method is developed to study the two-mode quantum Rabi model. For certain specific parameter conditions, especially for the resonant conditions, we obtain an infinite number of the exact solutions of the eigenfunctions and associated energies. It is shown that there exist new types of...

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Bibliographic Details
Published in:Communications in theoretical physics 2020-06, Vol.72 (6), p.65105
Main Author: Xie, Qiong-Tao
Format: Article
Language:English
Subjects:
exact solutions
level-crossings
two-mode quantum Rabi model
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Summary:An analytical method is developed to study the two-mode quantum Rabi model. For certain specific parameter conditions, especially for the resonant conditions, we obtain an infinite number of the exact solutions of the eigenfunctions and associated energies. It is shown that there exist new types of the exact energies which do not correspond to the level-crossings. Our analytical method may find applications in some related models.
ISSN:0253-6102
1572-9494
DOI:10.1088/1572-9494/ab8a1f