Alberto Parmeggiani

Fourier and microlocal methods for quantum Rabi systems

We give a concise presentation two perturbative approaches to the spectral analysis of Quantum Rabi systems. For the one-mode two-level model, a metaplectic translation reduces the Hamiltonian to a bounded analytic perturbation of a doubled harmonic oscillator. The first-order effective matrix is computed by Fourier-He...