Comment on "Comment on "Integrability of the Rabi Model""

TL;DR

This paper refutes a recent claim that Braak's solution to the quantum Rabi model is incomplete, demonstrating that it indeed includes all non-degenerate exceptional points through direct energy plot analysis.

Contribution

The authors clarify and confirm that Braak's solution encompasses all exceptional points, correcting previous misconceptions and reaffirming its completeness.

Findings

Braak's solution contains all non-degenerate exceptional points

Energy plots from Braak's solution match previous claims

The claim of incompleteness is proven incorrect

Abstract

In a recent Comment (arXiv:1510.00768) it was claimed that Braak's solution of the quantum Rabi model does not include the set of non-degenerate exceptional points and is thus not a complete solution. Braak's solution does contain these points however, as has been shown before, and which we demonstrate here by obtaining the same energy plots as in the Comment, directly from Braak's solution. Therefore the claim that Braak's solution is not complete is incorrect.