Related papers: The hidden symmetry of the asymmetric quantum Rabi model

The hidden symmetry of the asymmetric quantum Rabi model

URL: http://arxiv.org/abs/2010.02496v2
Date: Thu, 4 Mar 2021 10:26:16 GMT
Title: The hidden symmetry of the asymmetric quantum Rabi model
Authors: Vladimir V. Mangazeev, Murray T. Batchelor and Vladimir V. Bazhanov
Abstract summary: The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $epsiloninfrac12mathbbZ$ of the bias parameter $epsilon$. These level crossings are expected to be associated with some hidden symmetry of the model.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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 $\epsilon$. 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 and can be applied to other related light-matter interaction models for which similar level crossings have been observed in the presence of a bias term.

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