The Quantum Rabi model: Towards Braak's conjecture
Spectral Theory
2024-05-07 v2 Mathematical Physics
math.MP
Number Theory
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2311.12622,
title = {The Quantum Rabi model: Towards Braak's conjecture},
author = {Zeév Rudnick},
journal= {arXiv preprint arXiv:2311.12622},
year = {2024}
}