References & Citations
Quantum Physics
Title: Spectral determinant of the two-photon quantum Rabi model
(Submitted on 6 Jun 2022 (v1), last revised 3 Jan 2024 (this version, v3))
Abstract: The various generalized spectral determinants (G-functions) of the two-photon quantum Rabi model are analyzed with emphasis on the qualitative aspects of the regular spectrum. Whereas all of them yield at least a subset of the exact regular eigenvalues, only the G-function proposed by Chen et al. in 2012 exhibits an explicitly known pole structure which dictates the approach to the collapse point. We derive this function rigorously employing the $\mathbb{Z}_4$-symmetry of the model and show that its zeros correspond to the complete regular spectrum.
Submission history
From: Daniel Braak [view email][v1] Mon, 6 Jun 2022 11:43:18 GMT (155kb)
[v2] Wed, 1 Mar 2023 11:54:54 GMT (157kb)
[v3] Wed, 3 Jan 2024 15:55:59 GMT (157kb)
Link back to: arXiv, form interface, contact.