Eigenvalue Spectra of Rabi Models with Infinite Matrix Representations

Eigenvalue Spectra of Rabi Models with Infinite Matrix Representations

We investigate the relationship between confluent Heun functions and the eigenvalue spectra of infinite matrices related to the semi-classical and quantum Rabi models, revealing distinct connections in each case. In the semi-classical model, the eigenvalues are explicitly expressed through confluent...

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Bibliographic Details
Main Authors: Hongbin Liang, Shucan Xia, Yixiang Chen, Yuguo Su, Jie Chen
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Axioms
Subjects:
Rabi model
confluent Heun function
infinite matrix
quantum optics
eigenvalue problem
Online Access:https://www.mdpi.com/2075-1680/14/4/263
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