Quantifying the rotating-wave approximation of the Dicke model

Richter L, Burgarth D, Lonigro D (2026)

Publication Type: Journal article

Publication year: 2026

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 59

Pages Range: 075203

Issue: 7

DOI: 10.1088/1751-8121/ae42a3

Abstract

We analytically find quantitative, non-perturbative bounds to the validity of the rotating-wave approximation 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.

Authors with CRIS profile

Leonhard Richter Professur für Theoretische Physik Daniel Burgarth Professur für Theoretische Physik Davide Lonigro Professur für Theoretische Physik

How to cite

APA:

Richter, L., Burgarth, D., & Lonigro, D. (2026). Quantifying the rotating-wave approximation of the Dicke model. Journal of Physics A: Mathematical and Theoretical, 59, 075203. https://doi.org/10.1088/1751-8121/ae42a3

MLA:

Richter, Leonhard, Daniel Burgarth, and Davide Lonigro. "Quantifying the rotating-wave approximation of the Dicke model." Journal of Physics A: Mathematical and Theoretical 59 (2026): 075203.

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