The hidden symmetry of the asymmetric quantum Rabi model
Abstract
The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values ${\epsilon}\in \frac{1}{2}\mathbb{Z}$ of the bias parameter ϵ. Such level crossings are expected to be associated with some hidden symmetry of the model. The origin of this hidden symmetry is established by finding the operators which commute with the AQRM Hamiltonian at these special values. The construction is given explicitly for the first several cases ${\epsilon}=0,\frac{1}{2},1$ and can be applied to other related lightmatter interaction models for which similar level crossings have been observed in the presence of a bias term.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 March 2021
 DOI:
 10.1088/17518121/abe426
 arXiv:
 arXiv:2010.02496
 Bibcode:
 2021JPhA...54lLT01M
 Keywords:

 quantum Rabi model;
 hidden symmetry;
 level crossings;
 Quantum Physics;
 Mathematical Physics
 EPrint:
 10 pages