Related papers: Perturbation Theory and the Quantum Rabi-model

Perturbation Theory and the Quantum Rabi-model

URL: http://arxiv.org/abs/2601.17924v1
Date: Sun, 25 Jan 2026 17:54:21 GMT
Title: Perturbation Theory and the Quantum Rabi-model
Authors: Marcello Malagutti, Alberto Parmeggiani,
Abstract summary: In the first part we study a perturbative model of the Rabi system of Quantum Optics.<n>In the second part we study the analytics of the Weyl spectral counting function of a class of systems.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: In the first part of the paper we study a perturbative model of the Rabi system of Quantum Optics. We therefore are able to describe, through Rellich's theory, an analytic expansion of finite families, but of any fixed length, of eigenvalues. In particular, we prove that for finite families of eigenvalues the Braak conjecture holds. In the second part we study the asymptotics of the Weyl spectral counting function of a class of systems that generalize the Quantum Rabi Model to an $N$-level atom ($N\geq3$) with $N-1$ cavity modes of the electromagnetic field.

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