The quantum Rabi model: Towards Braak's conjecture

Abstract

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.

Locations

• arXiv (Cornell University) - View - PDF
• Journal of Physics A Mathematical and Theoretical - View - PDF