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math.SP2025
The density conjecture for Juddian points for the quantum Rabi model
Rishi Kumar, Zeév Rudnick
We study doubly degenerate (Juddian) eigenvalues for the Quantum Rabi Hamiltonian, a simple model of the interaction between a two-level atom and a single quantized mode of light.…
math.SP2024
The Quantum Rabi model: Towards Braak's conjecture
Zeév Rudnick
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-Bus…