2023/01/15 by Daniel Braak · 1 citation
Computer Science · Physics and Astronomy · Mathematics · #Quantum Information and Cryptography #Quantum optics and atomic interactions #Algebraic structures and combinatorial models
paper · pdf · doi:10.1002/andp.202200519
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. This function is derived rigorously employing the ‐symmetry of the model and shown that its zeros correspond to the complete regular spectrum.