Abstract
We establish a density one version of Braak’s conjecture on the fine structure of the spectrum of the quantum Rabi model, as well as a recent conjecture of Braak, Nguyen, Reyes-Bustos and Wakayama on the nearest neighbor spacings of the spectrum. The proof uses a three-term asymptotic expansion for large eigenvalues due to Boutet de Monvel and Zielinski, and a number theoretic argument from uniform distribution theory.
| Original language | English |
|---|---|
| Article number | 285206 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 57 |
| Issue number | 28 |
| DOIs | |
| State | Published - 12 Jul 2024 |
Keywords
- Braak’s conjecture
- quantum Rabi model
- uniform distribution modulo one
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- General Physics and Astronomy
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