Asymptotics for Anisotropic Rabi Models
Mathematical Physics
2025-12-17 v2 math.MP
Abstract
A one-parameter family of self-adjoint operators interpolating between the quantum Rabi Hamiltonian and its rotating-wave approximation is studied. A mathematically rigorous treatment of such interpolations has been lacking. Motivated by the physical claim that counter-rotating terms dominate at strong coupling, we analyze the limit in which the coupling constant of the anisotropic Rabi model tends to infinity. Our results provide an operator-theoretic description of this limit and clarify the spectral evolution from the rotating-wave approximation to the full Rabi model.
Cite
@article{arxiv.2510.20201,
title = {Asymptotics for Anisotropic Rabi Models},
author = {Masao Hirokawa and Fumio Hiroshima and DongYun Lee},
journal= {arXiv preprint arXiv:2510.20201},
year = {2025}
}
Comments
We have identified an error in the current version