Quantifying the rotating-wave approximation of the Dicke model
Abstract
We analytically find quantitative, non-perturbative bounds to the validity of the rotating-wave approximation (RWA) for the multi-atom generalization of the quantum Rabi model: the Dicke model. Precisely, we bound the norm of the difference between the evolutions of states generated by the Dicke model and its rotating-wave approximated counterpart, that is, the Tavis-Cummings model. The intricate role of the parameters of the model in determining the bounds is discussed and compared with numerical results. Our bounds are intrinsically state-dependent and, in particular, capture a nontrivial dependence on the total angular momentum of the initial state; this behaviour also seems to be confirmed by accompanying numerical results.
Keywords
Cite
@article{arxiv.2410.18694,
title = {Quantifying the rotating-wave approximation of the Dicke model},
author = {Leonhard Richter and Daniel Burgarth and Davide Lonigro},
journal= {arXiv preprint arXiv:2410.18694},
year = {2026}
}
Comments
33 pages, 3 figures, major revision, results changed