The Quantum Rabi model: Towards Braak's conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910434602254336 |
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| author | Rudnick, Zeév |
| author_facet | Rudnick, Zeév |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12622 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Quantum Rabi model: Towards Braak's conjecture Rudnick, Zeév Spectral Theory Mathematical Physics Number Theory Quantum Physics 81Q10 (Primary) 81V80, 11J71 (Secondary) 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. |
| title | The Quantum Rabi model: Towards Braak's conjecture |
| topic | Spectral Theory Mathematical Physics Number Theory Quantum Physics 81Q10 (Primary) 81V80, 11J71 (Secondary) |
| url | https://arxiv.org/abs/2311.12622 |