Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model

作者：Li Zi Min^*; Batchelor Murray T

来源：Journal of Physics A-Mathematical and Theoretical, 2015, 48(45): 454005.

DOI：10.1088/1751-8113/48/45/454005

• Rabi model
• driven Rabi model
• level crossings

We obtain the exceptional part of the eigenspectrum of the generalized Rabi model, also known as the driven Rabi model, in terms of the roots of a set of algebraic equations. This approach provides a product form for the wavefunction components and allows an explicit connection with recent results obtained for the wavefunction in terms of truncated confluent Heun functions. Other approaches are also compared. For particular parameter values the exceptional part of the eigenspectrum consists of doubly degenerate crossing points. We give a proof for the number of roots of the constraint polynomials and discuss the number of crossing points.

• 出版日期2015-11-13
• 单位重庆大学