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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 3, Pages 410–418
DOI: https://doi.org/10.4213/tmf6551 (Mi tmf6551) 		 
Integrable equations for the model with $N$ sources and $n-1$ modes

B. I. Sadovnikova, N. G. Inozemtsevab, V. I. Inozemtsevc

a Lomonosov Moscow State University, Moscow, Russia
b Dubna International University of Nature, Society, and Humanity, Dubna, Moscow Oblast, Russia
c Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf6551
Abstract: We consider simplified models of coupling charged matter to radiation resonance modes generalizing the well-known Jaynes–Cummings and Dicke models. We find that these new models are integrable for arbitrary numbers of dipole sources and resonance modes of the radiation field. We discuss the problem of explicitly diagonalizing the corresponding Hamiltonians.
Keywords: quantum optics, radiation–matter coupling, integrability.
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 3, Pages 1176–1183
DOI: https://doi.org/10.1007/s11232-010-0097-0
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Document Type: Article
Language: Russian
Citation: B. I. Sadovnikov, N. G. Inozemtseva, V. I. Inozemtsev, “Integrable equations for the model with $N$ sources and $n-1$ modes”, TMF, 164:3 (2010), 410–418; Theoret. and Math. Phys., 164:3 (2010), 1176–1183
Citation in format AMSBIB
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\pages 410--418
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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