Addendum to `Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model'

Abstract

In our recent paper (Li and Batchelor J. Phys. A: Math. Theor. 48, 454005 (2015)) we obtained exceptional points in the eigenspectrum of the generalized Rabi model in terms of a set of algebraic equations. We also gave a proof for the number of roots of the constraint polynomials defining these exceptional solutions as a function of the system parameters and discussed the number of crossing points in the eigenspectrum. This approach however, only covered a subset of all exceptional points in the eigenspectrum. In this addendum, we clarify the distinction between the exceptional parts of the eigenspectrum for this model and discuss the subset of exceptional points not determined in our paper.

5 pages, 3 figures

References in corpus (2)

• Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
• Analytical method of spectra calculations in the Bargmann representation

Cited by in corpus (12)

• The hidden symmetry of the asymmetric quantum Rabi model
• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
• Remarks on the hidden symmetry of the asymmetric quantum Rabi model
• Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model
• Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model
• Generalized adiabatic approximation to the quantum Rabi model
• Spectral determinant of the two-photon quantum Rabi model
• Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
• PT-symmetric quantum Rabi model
• Non-orthogonal qubit states expansion for the asymmetric quantum Rabi model
• General symmetry operators of the asymmetric quantum Rabi model
• Symmetry operators of the asymmetric two-photon quantum Rabi model