Oscillatory behavior of large eigenvalues in quantum Rabi models

2017/11/09 by de Monvel, Anne Boutet, Zielinski, Lech
#47A55 (Secondary) #47A75 #47B36 (Primary) #81Q10 #81T10 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1711.03366

Abstract

We investigate the large n asymptotics of the n-th eigenvalue for a class of unbounded self-adjoint operators defined by infinite Jacobi matrices with discrete spectrum. In the case of the quantum Rabi model we obtain the first three terms of the asymptotics which determine the parameters of the model. This paper is based on our previous paper [5] that it completes and improves.

Related

• Eigenvalues asymptotics of unbounded operators. Two-photon quantum Rabi model
• Asymptotic behavior of large eigenvalues of Jaynes-Cummings type models
• Perturbation Theory and the Quantum Rabi-model
• The Quantum Rabi model: Towards Braak's conjecture
• Asymptotics for Anisotropic Rabi Models