论文标题
两光子量子兔模型的光谱决定因素
Spectral determinant of the two-photon quantum Rabi model
论文作者
论文摘要
分析了两光子量子兔模型的各种广义光谱决定因素（G-功能），重点是正常光谱的定性方面。而所有这些都至少产生了确切的规则特征值的一部分，而仅Chen等人提出的G功能。 2012年，表现出明确已知的极点结构，该结构决定了塌陷点的方法。我们严格地使用$ \ mathbb {z} _4 $ - 模型来得出此功能，并表明其零对应于完整的常规频谱。
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.
