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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6551https://doi.org/10.4213/tmf6551 https://www.mathnet.ru/eng/tmf/v164/i3/p410
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Abstract page: | 317 | Full-text PDF : | 166 | References: | 36 | First page: | 9 |
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