Spectral determinant of the two‐photon quantum Rabi model

  • 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. This function is derived rigorously employing the Z4-symmetry of the model and shown that its zeros correspond to the complete regular spectrum.

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Metadaten
Author:Daniel BraakORCiDGND
URN:urn:nbn:de:bvb:384-opus4-1010186
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/101018
ISSN:0003-3804OPAC
ISSN:1521-3889OPAC
Parent Title (German):Annalen der Physik
Publisher:Wiley
Type:Article
Language:English
Year of first Publication:2023
Publishing Institution:Universität Augsburg
Release Date:2023/01/16
Tag:General Physics and Astronomy
Volume:535
Issue:3
First Page:2200519
DOI:https://doi.org/10.1002/andp.202200519
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Experimentalphysik VI
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)