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Full Analytic Spectrum of Generalized Jaynes-Cummings Hamiltonians

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Abstract

We develop an analytic formalism using basic quantum mechanics techniques to successfully solve the multiphoton Jaynes–Cummings and the generalized Dicke Hamiltonians. For this, we split the Hamiltonians of these models into two operators that have the properties of constants of motion for these systems. We then use some well-known operator properties to obtain complete analytic spectra for the considered models.

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Acknowledgments

The authors thank the referee for a thorough review and the relevant comments that have helped to improve the work.

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Authors and Affiliations

  1. Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-Calavi, Unité de Recherche en Physique Théorique, Porto-Novo, République du Bénin

    A. J. Adanmitonde & G. Y. H. Avossevou

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  1. A. J. Adanmitonde
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  2. G. Y. H. Avossevou
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Correspondence to A. J. Adanmitonde or G. Y. H. Avossevou.

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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 201, No. 1, pp. 105–117, October, 2019.

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Adanmitonde, A.J., Avossevou, G.Y.H. Full Analytic Spectrum of Generalized Jaynes-Cummings Hamiltonians. Theor Math Phys 201, 1503–1513 (2019). https://doi.org/10.1134/S0040577919100076

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