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arXiv · 1703.06625

Non-integrability of the semiclassical Jaynes--Cummings models without the rotating-wave approximation

Andrzej J. Maciejewski·Wojciech Szumiński
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Abstract

Two versions of the semi-classical Jaynes--Cummings model without the rotating wave approximation are investigated. It is shown that for a non-zero value of the coupling constant the version introduced by Belobrov, Zaslavsky, and Tartakovsky is Hamiltonian with respect to a certain degenerated Poisson bracket. Moreover, it is shown that both models are not integrable.

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Andrzej J. Maciejewski, Wojciech Szumiński. 2017-03-20. Non-integrability of the semiclassical Jaynes--Cummings models without the rotating-wave approximation. https://arxiv.org/abs/1703.06625

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